Álgebra linear Exemplos

$[\begin{array}{c} 3 & 4 & 4 & 44 \\ 4 & 4 & 4 & 4 \\ 343 & 343545 & 5 & 67 \\ 7 & 7 & 6 & 5 \end{array}]$

Etapa 1

Choose the row or column with the most $0$ elements. If there are no $0$ elements choose any row or column. Multiply every element in row $1$ by its cofactor and add.

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Etapa 1.1

Consider the corresponding sign chart.

$| \begin{array}{c} + & - & + & - \\ - & + & - & + \\ + & - & + & - \\ - & + & - & + \end{array} |$

Etapa 1.2

The cofactor is the minor with the sign changed if the indices match a $-$ position on the sign chart.

Etapa 1.3

The minor for $a_{11}$ is the determinant with row $1$ and column $1$ deleted.

$| \begin{array}{c} 4 & 4 & 4 \\ 343545 & 5 & 67 \\ 7 & 6 & 5 \end{array} |$

Etapa 1.4

Multiply element $a_{11}$ by its cofactor.

$3 | \begin{array}{c} 4 & 4 & 4 \\ 343545 & 5 & 67 \\ 7 & 6 & 5 \end{array} |$

Etapa 1.5

The minor for $a_{12}$ is the determinant with row $1$ and column $2$ deleted.

$| \begin{array}{c} 4 & 4 & 4 \\ 343 & 5 & 67 \\ 7 & 6 & 5 \end{array} |$

Etapa 1.6

Multiply element $a_{12}$ by its cofactor.

$- 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 5 & 67 \\ 7 & 6 & 5 \end{array} |$

Etapa 1.7

The minor for $a_{13}$ is the determinant with row $1$ and column $3$ deleted.

$| \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} |$

Etapa 1.8

Multiply element $a_{13}$ by its cofactor.

$4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} |$

Etapa 1.9

The minor for $a_{14}$ is the determinant with row $1$ and column $4$ deleted.

$| \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 1.10

Multiply element $a_{14}$ by its cofactor.

$- 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 1.11

Add the terms together.

$3 | \begin{array}{c} 4 & 4 & 4 \\ 343545 & 5 & 67 \\ 7 & 6 & 5 \end{array} | - 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 5 & 67 \\ 7 & 6 & 5 \end{array} | + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 2

Avalie $| \begin{array}{c} 4 & 4 & 4 \\ 343545 & 5 & 67 \\ 7 & 6 & 5 \end{array} |$ .

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Etapa 2.1

Choose the row or column with the most $0$ elements. If there are no $0$ elements choose any row or column. Multiply every element in row $1$ by its cofactor and add.

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Etapa 2.1.1

Consider the corresponding sign chart.

$| \begin{array}{c} + & - & + \\ - & + & - \\ + & - & + \end{array} |$

Etapa 2.1.2

The cofactor is the minor with the sign changed if the indices match a $-$ position on the sign chart.

Etapa 2.1.3

The minor for $a_{11}$ is the determinant with row $1$ and column $1$ deleted.

$| \begin{array}{c} 5 & 67 \\ 6 & 5 \end{array} |$

Etapa 2.1.4

Multiply element $a_{11}$ by its cofactor.

$4 | \begin{array}{c} 5 & 67 \\ 6 & 5 \end{array} |$

Etapa 2.1.5

The minor for $a_{12}$ is the determinant with row $1$ and column $2$ deleted.

$| \begin{array}{c} 343545 & 67 \\ 7 & 5 \end{array} |$

Etapa 2.1.6

Multiply element $a_{12}$ by its cofactor.

$- 4 | \begin{array}{c} 343545 & 67 \\ 7 & 5 \end{array} |$

Etapa 2.1.7

The minor for $a_{13}$ is the determinant with row $1$ and column $3$ deleted.

$| \begin{array}{c} 343545 & 5 \\ 7 & 6 \end{array} |$

Etapa 2.1.8

Multiply element $a_{13}$ by its cofactor.

$4 | \begin{array}{c} 343545 & 5 \\ 7 & 6 \end{array} |$

Etapa 2.1.9

Add the terms together.

$3 (4 | \begin{array}{c} 5 & 67 \\ 6 & 5 \end{array} | - 4 | \begin{array}{c} 343545 & 67 \\ 7 & 5 \end{array} | + 4 | \begin{array}{c} 343545 & 5 \\ 7 & 6 \end{array} |) - 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 5 & 67 \\ 7 & 6 & 5 \end{array} | + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 2.2

Avalie $| \begin{array}{c} 5 & 67 \\ 6 & 5 \end{array} |$ .

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Etapa 2.2.1

O determinante de uma matriz $2 \times 2$ pode ser encontrado ao usar a fórmula $| \begin{array}{c} a & b \\ c & d \end{array} | = a d - c b$ .

$3 (4 (5 \cdot 5 - 6 \cdot 67) - 4 | \begin{array}{c} 343545 & 67 \\ 7 & 5 \end{array} | + 4 | \begin{array}{c} 343545 & 5 \\ 7 & 6 \end{array} |) - 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 5 & 67 \\ 7 & 6 & 5 \end{array} | + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 2.2.2

Simplifique o determinante.

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Etapa 2.2.2.1

Simplifique cada termo.

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Etapa 2.2.2.1.1

Multiplique $5$ por $5$ .

$3 (4 (25 - 6 \cdot 67) - 4 | \begin{array}{c} 343545 & 67 \\ 7 & 5 \end{array} | + 4 | \begin{array}{c} 343545 & 5 \\ 7 & 6 \end{array} |) - 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 5 & 67 \\ 7 & 6 & 5 \end{array} | + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 2.2.2.1.2

Multiplique $- 6$ por $67$ .

$3 (4 (25 - 402) - 4 | \begin{array}{c} 343545 & 67 \\ 7 & 5 \end{array} | + 4 | \begin{array}{c} 343545 & 5 \\ 7 & 6 \end{array} |) - 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 5 & 67 \\ 7 & 6 & 5 \end{array} | + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 2.2.2.2

Subtraia $402$ de $25$ .

$3 (4 \cdot - 377 - 4 | \begin{array}{c} 343545 & 67 \\ 7 & 5 \end{array} | + 4 | \begin{array}{c} 343545 & 5 \\ 7 & 6 \end{array} |) - 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 5 & 67 \\ 7 & 6 & 5 \end{array} | + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 2.3

Avalie $| \begin{array}{c} 343545 & 67 \\ 7 & 5 \end{array} |$ .

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Etapa 2.3.1

O determinante de uma matriz $2 \times 2$ pode ser encontrado ao usar a fórmula $| \begin{array}{c} a & b \\ c & d \end{array} | = a d - c b$ .

$3 (4 \cdot - 377 - 4 (343545 \cdot 5 - 7 \cdot 67) + 4 | \begin{array}{c} 343545 & 5 \\ 7 & 6 \end{array} |) - 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 5 & 67 \\ 7 & 6 & 5 \end{array} | + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 2.3.2

Simplifique o determinante.

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Etapa 2.3.2.1

Simplifique cada termo.

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Etapa 2.3.2.1.1

Multiplique $343545$ por $5$ .

$3 (4 \cdot - 377 - 4 (1717725 - 7 \cdot 67) + 4 | \begin{array}{c} 343545 & 5 \\ 7 & 6 \end{array} |) - 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 5 & 67 \\ 7 & 6 & 5 \end{array} | + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 2.3.2.1.2

Multiplique $- 7$ por $67$ .

$3 (4 \cdot - 377 - 4 (1717725 - 469) + 4 | \begin{array}{c} 343545 & 5 \\ 7 & 6 \end{array} |) - 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 5 & 67 \\ 7 & 6 & 5 \end{array} | + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 2.3.2.2

Subtraia $469$ de $1717725$ .

$3 (4 \cdot - 377 - 4 \cdot 1717256 + 4 | \begin{array}{c} 343545 & 5 \\ 7 & 6 \end{array} |) - 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 5 & 67 \\ 7 & 6 & 5 \end{array} | + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 2.4

Avalie $| \begin{array}{c} 343545 & 5 \\ 7 & 6 \end{array} |$ .

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Etapa 2.4.1

O determinante de uma matriz $2 \times 2$ pode ser encontrado ao usar a fórmula $| \begin{array}{c} a & b \\ c & d \end{array} | = a d - c b$ .

$3 (4 \cdot - 377 - 4 \cdot 1717256 + 4 (343545 \cdot 6 - 7 \cdot 5)) - 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 5 & 67 \\ 7 & 6 & 5 \end{array} | + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 2.4.2

Simplifique o determinante.

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Etapa 2.4.2.1

Simplifique cada termo.

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Etapa 2.4.2.1.1

Multiplique $343545$ por $6$ .

$3 (4 \cdot - 377 - 4 \cdot 1717256 + 4 (2061270 - 7 \cdot 5)) - 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 5 & 67 \\ 7 & 6 & 5 \end{array} | + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 2.4.2.1.2

Multiplique $- 7$ por $5$ .

$3 (4 \cdot - 377 - 4 \cdot 1717256 + 4 (2061270 - 35)) - 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 5 & 67 \\ 7 & 6 & 5 \end{array} | + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 2.4.2.2

Subtraia $35$ de $2061270$ .

$3 (4 \cdot - 377 - 4 \cdot 1717256 + 4 \cdot 2061235) - 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 5 & 67 \\ 7 & 6 & 5 \end{array} | + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 2.5

Simplifique o determinante.

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Etapa 2.5.1

Simplifique cada termo.

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Etapa 2.5.1.1

Multiplique $4$ por $- 377$ .

$3 (- 1508 - 4 \cdot 1717256 + 4 \cdot 2061235) - 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 5 & 67 \\ 7 & 6 & 5 \end{array} | + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 2.5.1.2

Multiplique $- 4$ por $1717256$ .

$3 (- 1508 - 6869024 + 4 \cdot 2061235) - 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 5 & 67 \\ 7 & 6 & 5 \end{array} | + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 2.5.1.3

Multiplique $4$ por $2061235$ .

$3 (- 1508 - 6869024 + 8244940) - 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 5 & 67 \\ 7 & 6 & 5 \end{array} | + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 2.5.2

Subtraia $6869024$ de $- 1508$ .

$3 (- 6870532 + 8244940) - 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 5 & 67 \\ 7 & 6 & 5 \end{array} | + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 2.5.3

Some $- 6870532$ e $8244940$ .

$3 \cdot 1374408 - 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 5 & 67 \\ 7 & 6 & 5 \end{array} | + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 3

Avalie $| \begin{array}{c} 4 & 4 & 4 \\ 343 & 5 & 67 \\ 7 & 6 & 5 \end{array} |$ .

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Etapa 3.1

Choose the row or column with the most $0$ elements. If there are no $0$ elements choose any row or column. Multiply every element in row $1$ by its cofactor and add.

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Etapa 3.1.1

Consider the corresponding sign chart.

$| \begin{array}{c} + & - & + \\ - & + & - \\ + & - & + \end{array} |$

Etapa 3.1.2

The cofactor is the minor with the sign changed if the indices match a $-$ position on the sign chart.

Etapa 3.1.3

The minor for $a_{11}$ is the determinant with row $1$ and column $1$ deleted.

$| \begin{array}{c} 5 & 67 \\ 6 & 5 \end{array} |$

Etapa 3.1.4

Multiply element $a_{11}$ by its cofactor.

$4 | \begin{array}{c} 5 & 67 \\ 6 & 5 \end{array} |$

Etapa 3.1.5

The minor for $a_{12}$ is the determinant with row $1$ and column $2$ deleted.

$| \begin{array}{c} 343 & 67 \\ 7 & 5 \end{array} |$

Etapa 3.1.6

Multiply element $a_{12}$ by its cofactor.

$- 4 | \begin{array}{c} 343 & 67 \\ 7 & 5 \end{array} |$

Etapa 3.1.7

The minor for $a_{13}$ is the determinant with row $1$ and column $3$ deleted.

$| \begin{array}{c} 343 & 5 \\ 7 & 6 \end{array} |$

Etapa 3.1.8

Multiply element $a_{13}$ by its cofactor.

$4 | \begin{array}{c} 343 & 5 \\ 7 & 6 \end{array} |$

Etapa 3.1.9

Add the terms together.

$3 \cdot 1374408 - 4 (4 | \begin{array}{c} 5 & 67 \\ 6 & 5 \end{array} | - 4 | \begin{array}{c} 343 & 67 \\ 7 & 5 \end{array} | + 4 | \begin{array}{c} 343 & 5 \\ 7 & 6 \end{array} |) + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 3.2

Avalie $| \begin{array}{c} 5 & 67 \\ 6 & 5 \end{array} |$ .

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Etapa 3.2.1

O determinante de uma matriz $2 \times 2$ pode ser encontrado ao usar a fórmula $| \begin{array}{c} a & b \\ c & d \end{array} | = a d - c b$ .

$3 \cdot 1374408 - 4 (4 (5 \cdot 5 - 6 \cdot 67) - 4 | \begin{array}{c} 343 & 67 \\ 7 & 5 \end{array} | + 4 | \begin{array}{c} 343 & 5 \\ 7 & 6 \end{array} |) + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 3.2.2

Simplifique o determinante.

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Etapa 3.2.2.1

Simplifique cada termo.

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Etapa 3.2.2.1.1

Multiplique $5$ por $5$ .

$3 \cdot 1374408 - 4 (4 (25 - 6 \cdot 67) - 4 | \begin{array}{c} 343 & 67 \\ 7 & 5 \end{array} | + 4 | \begin{array}{c} 343 & 5 \\ 7 & 6 \end{array} |) + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 3.2.2.1.2

Multiplique $- 6$ por $67$ .

$3 \cdot 1374408 - 4 (4 (25 - 402) - 4 | \begin{array}{c} 343 & 67 \\ 7 & 5 \end{array} | + 4 | \begin{array}{c} 343 & 5 \\ 7 & 6 \end{array} |) + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 3.2.2.2

Subtraia $402$ de $25$ .

$3 \cdot 1374408 - 4 (4 \cdot - 377 - 4 | \begin{array}{c} 343 & 67 \\ 7 & 5 \end{array} | + 4 | \begin{array}{c} 343 & 5 \\ 7 & 6 \end{array} |) + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 3.3

Avalie $| \begin{array}{c} 343 & 67 \\ 7 & 5 \end{array} |$ .

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Etapa 3.3.1

O determinante de uma matriz $2 \times 2$ pode ser encontrado ao usar a fórmula $| \begin{array}{c} a & b \\ c & d \end{array} | = a d - c b$ .

$3 \cdot 1374408 - 4 (4 \cdot - 377 - 4 (343 \cdot 5 - 7 \cdot 67) + 4 | \begin{array}{c} 343 & 5 \\ 7 & 6 \end{array} |) + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 3.3.2

Simplifique o determinante.

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Etapa 3.3.2.1

Simplifique cada termo.

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Etapa 3.3.2.1.1

Multiplique $343$ por $5$ .

$3 \cdot 1374408 - 4 (4 \cdot - 377 - 4 (1715 - 7 \cdot 67) + 4 | \begin{array}{c} 343 & 5 \\ 7 & 6 \end{array} |) + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 3.3.2.1.2

Multiplique $- 7$ por $67$ .

$3 \cdot 1374408 - 4 (4 \cdot - 377 - 4 (1715 - 469) + 4 | \begin{array}{c} 343 & 5 \\ 7 & 6 \end{array} |) + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 3.3.2.2

Subtraia $469$ de $1715$ .

$3 \cdot 1374408 - 4 (4 \cdot - 377 - 4 \cdot 1246 + 4 | \begin{array}{c} 343 & 5 \\ 7 & 6 \end{array} |) + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 3.4

Avalie $| \begin{array}{c} 343 & 5 \\ 7 & 6 \end{array} |$ .

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Etapa 3.4.1

O determinante de uma matriz $2 \times 2$ pode ser encontrado ao usar a fórmula $| \begin{array}{c} a & b \\ c & d \end{array} | = a d - c b$ .

$3 \cdot 1374408 - 4 (4 \cdot - 377 - 4 \cdot 1246 + 4 (343 \cdot 6 - 7 \cdot 5)) + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 3.4.2

Simplifique o determinante.

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Etapa 3.4.2.1

Simplifique cada termo.

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Etapa 3.4.2.1.1

Multiplique $343$ por $6$ .

$3 \cdot 1374408 - 4 (4 \cdot - 377 - 4 \cdot 1246 + 4 (2058 - 7 \cdot 5)) + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 3.4.2.1.2

Multiplique $- 7$ por $5$ .

$3 \cdot 1374408 - 4 (4 \cdot - 377 - 4 \cdot 1246 + 4 (2058 - 35)) + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 3.4.2.2

Subtraia $35$ de $2058$ .

$3 \cdot 1374408 - 4 (4 \cdot - 377 - 4 \cdot 1246 + 4 \cdot 2023) + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 3.5

Simplifique o determinante.

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Etapa 3.5.1

Simplifique cada termo.

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Etapa 3.5.1.1

Multiplique $4$ por $- 377$ .

$3 \cdot 1374408 - 4 (- 1508 - 4 \cdot 1246 + 4 \cdot 2023) + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 3.5.1.2

Multiplique $- 4$ por $1246$ .

$3 \cdot 1374408 - 4 (- 1508 - 4984 + 4 \cdot 2023) + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 3.5.1.3

Multiplique $4$ por $2023$ .

$3 \cdot 1374408 - 4 (- 1508 - 4984 + 8092) + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 3.5.2

Subtraia $4984$ de $- 1508$ .

$3 \cdot 1374408 - 4 (- 6492 + 8092) + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 3.5.3

Some $- 6492$ e $8092$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} | - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 4

Avalie $| \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 67 \\ 7 & 7 & 5 \end{array} |$ .

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Etapa 4.1

Choose the row or column with the most $0$ elements. If there are no $0$ elements choose any row or column. Multiply every element in row $1$ by its cofactor and add.

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Etapa 4.1.1

Consider the corresponding sign chart.

$| \begin{array}{c} + & - & + \\ - & + & - \\ + & - & + \end{array} |$

Etapa 4.1.2

The cofactor is the minor with the sign changed if the indices match a $-$ position on the sign chart.

Etapa 4.1.3

The minor for $a_{11}$ is the determinant with row $1$ and column $1$ deleted.

$| \begin{array}{c} 343545 & 67 \\ 7 & 5 \end{array} |$

Etapa 4.1.4

Multiply element $a_{11}$ by its cofactor.

$4 | \begin{array}{c} 343545 & 67 \\ 7 & 5 \end{array} |$

Etapa 4.1.5

The minor for $a_{12}$ is the determinant with row $1$ and column $2$ deleted.

$| \begin{array}{c} 343 & 67 \\ 7 & 5 \end{array} |$

Etapa 4.1.6

Multiply element $a_{12}$ by its cofactor.

$- 4 | \begin{array}{c} 343 & 67 \\ 7 & 5 \end{array} |$

Etapa 4.1.7

The minor for $a_{13}$ is the determinant with row $1$ and column $3$ deleted.

$| \begin{array}{c} 343 & 343545 \\ 7 & 7 \end{array} |$

Etapa 4.1.8

Multiply element $a_{13}$ by its cofactor.

$4 | \begin{array}{c} 343 & 343545 \\ 7 & 7 \end{array} |$

Etapa 4.1.9

Add the terms together.

$3 \cdot 1374408 - 4 \cdot 1600 + 4 (4 | \begin{array}{c} 343545 & 67 \\ 7 & 5 \end{array} | - 4 | \begin{array}{c} 343 & 67 \\ 7 & 5 \end{array} | + 4 | \begin{array}{c} 343 & 343545 \\ 7 & 7 \end{array} |) - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 4.2

Avalie $| \begin{array}{c} 343545 & 67 \\ 7 & 5 \end{array} |$ .

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Etapa 4.2.1

O determinante de uma matriz $2 \times 2$ pode ser encontrado ao usar a fórmula $| \begin{array}{c} a & b \\ c & d \end{array} | = a d - c b$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 (4 (343545 \cdot 5 - 7 \cdot 67) - 4 | \begin{array}{c} 343 & 67 \\ 7 & 5 \end{array} | + 4 | \begin{array}{c} 343 & 343545 \\ 7 & 7 \end{array} |) - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 4.2.2

Simplifique o determinante.

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Etapa 4.2.2.1

Simplifique cada termo.

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Etapa 4.2.2.1.1

Multiplique $343545$ por $5$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 (4 (1717725 - 7 \cdot 67) - 4 | \begin{array}{c} 343 & 67 \\ 7 & 5 \end{array} | + 4 | \begin{array}{c} 343 & 343545 \\ 7 & 7 \end{array} |) - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 4.2.2.1.2

Multiplique $- 7$ por $67$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 (4 (1717725 - 469) - 4 | \begin{array}{c} 343 & 67 \\ 7 & 5 \end{array} | + 4 | \begin{array}{c} 343 & 343545 \\ 7 & 7 \end{array} |) - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 4.2.2.2

Subtraia $469$ de $1717725$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 (4 \cdot 1717256 - 4 | \begin{array}{c} 343 & 67 \\ 7 & 5 \end{array} | + 4 | \begin{array}{c} 343 & 343545 \\ 7 & 7 \end{array} |) - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 4.3

Avalie $| \begin{array}{c} 343 & 67 \\ 7 & 5 \end{array} |$ .

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Etapa 4.3.1

O determinante de uma matriz $2 \times 2$ pode ser encontrado ao usar a fórmula $| \begin{array}{c} a & b \\ c & d \end{array} | = a d - c b$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 (4 \cdot 1717256 - 4 (343 \cdot 5 - 7 \cdot 67) + 4 | \begin{array}{c} 343 & 343545 \\ 7 & 7 \end{array} |) - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 4.3.2

Simplifique o determinante.

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Etapa 4.3.2.1

Simplifique cada termo.

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Etapa 4.3.2.1.1

Multiplique $343$ por $5$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 (4 \cdot 1717256 - 4 (1715 - 7 \cdot 67) + 4 | \begin{array}{c} 343 & 343545 \\ 7 & 7 \end{array} |) - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 4.3.2.1.2

Multiplique $- 7$ por $67$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 (4 \cdot 1717256 - 4 (1715 - 469) + 4 | \begin{array}{c} 343 & 343545 \\ 7 & 7 \end{array} |) - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 4.3.2.2

Subtraia $469$ de $1715$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 (4 \cdot 1717256 - 4 \cdot 1246 + 4 | \begin{array}{c} 343 & 343545 \\ 7 & 7 \end{array} |) - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 4.4

Avalie $| \begin{array}{c} 343 & 343545 \\ 7 & 7 \end{array} |$ .

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Etapa 4.4.1

O determinante de uma matriz $2 \times 2$ pode ser encontrado ao usar a fórmula $| \begin{array}{c} a & b \\ c & d \end{array} | = a d - c b$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 (4 \cdot 1717256 - 4 \cdot 1246 + 4 (343 \cdot 7 - 7 \cdot 343545)) - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 4.4.2

Simplifique o determinante.

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Etapa 4.4.2.1

Simplifique cada termo.

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Etapa 4.4.2.1.1

Multiplique $343$ por $7$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 (4 \cdot 1717256 - 4 \cdot 1246 + 4 (2401 - 7 \cdot 343545)) - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 4.4.2.1.2

Multiplique $- 7$ por $343545$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 (4 \cdot 1717256 - 4 \cdot 1246 + 4 (2401 - 2404815)) - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 4.4.2.2

Subtraia $2404815$ de $2401$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 (4 \cdot 1717256 - 4 \cdot 1246 + 4 \cdot - 2402414) - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 4.5

Simplifique o determinante.

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Etapa 4.5.1

Simplifique cada termo.

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Etapa 4.5.1.1

Multiplique $4$ por $1717256$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 (6869024 - 4 \cdot 1246 + 4 \cdot - 2402414) - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 4.5.1.2

Multiplique $- 4$ por $1246$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 (6869024 - 4984 + 4 \cdot - 2402414) - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 4.5.1.3

Multiplique $4$ por $- 2402414$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 (6869024 - 4984 - 9609656) - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 4.5.2

Subtraia $4984$ de $6869024$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 (6864040 - 9609656) - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 4.5.3

Subtraia $9609656$ de $6864040$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 \cdot - 2745616 - 44 | \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$

Etapa 5

Avalie $| \begin{array}{c} 4 & 4 & 4 \\ 343 & 343545 & 5 \\ 7 & 7 & 6 \end{array} |$ .

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Etapa 5.1

Choose the row or column with the most $0$ elements. If there are no $0$ elements choose any row or column. Multiply every element in row $1$ by its cofactor and add.

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Etapa 5.1.1

Consider the corresponding sign chart.

$| \begin{array}{c} + & - & + \\ - & + & - \\ + & - & + \end{array} |$

Etapa 5.1.2

The cofactor is the minor with the sign changed if the indices match a $-$ position on the sign chart.

Etapa 5.1.3

The minor for $a_{11}$ is the determinant with row $1$ and column $1$ deleted.

$| \begin{array}{c} 343545 & 5 \\ 7 & 6 \end{array} |$

Etapa 5.1.4

Multiply element $a_{11}$ by its cofactor.

$4 | \begin{array}{c} 343545 & 5 \\ 7 & 6 \end{array} |$

Etapa 5.1.5

The minor for $a_{12}$ is the determinant with row $1$ and column $2$ deleted.

$| \begin{array}{c} 343 & 5 \\ 7 & 6 \end{array} |$

Etapa 5.1.6

Multiply element $a_{12}$ by its cofactor.

$- 4 | \begin{array}{c} 343 & 5 \\ 7 & 6 \end{array} |$

Etapa 5.1.7

The minor for $a_{13}$ is the determinant with row $1$ and column $3$ deleted.

$| \begin{array}{c} 343 & 343545 \\ 7 & 7 \end{array} |$

Etapa 5.1.8

Multiply element $a_{13}$ by its cofactor.

$4 | \begin{array}{c} 343 & 343545 \\ 7 & 7 \end{array} |$

Etapa 5.1.9

Add the terms together.

$3 \cdot 1374408 - 4 \cdot 1600 + 4 \cdot - 2745616 - 44 (4 | \begin{array}{c} 343545 & 5 \\ 7 & 6 \end{array} | - 4 | \begin{array}{c} 343 & 5 \\ 7 & 6 \end{array} | + 4 | \begin{array}{c} 343 & 343545 \\ 7 & 7 \end{array} |)$

Etapa 5.2

Avalie $| \begin{array}{c} 343545 & 5 \\ 7 & 6 \end{array} |$ .

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Etapa 5.2.1

O determinante de uma matriz $2 \times 2$ pode ser encontrado ao usar a fórmula $| \begin{array}{c} a & b \\ c & d \end{array} | = a d - c b$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 \cdot - 2745616 - 44 (4 (343545 \cdot 6 - 7 \cdot 5) - 4 | \begin{array}{c} 343 & 5 \\ 7 & 6 \end{array} | + 4 | \begin{array}{c} 343 & 343545 \\ 7 & 7 \end{array} |)$

Etapa 5.2.2

Simplifique o determinante.

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Etapa 5.2.2.1

Simplifique cada termo.

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Etapa 5.2.2.1.1

Multiplique $343545$ por $6$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 \cdot - 2745616 - 44 (4 (2061270 - 7 \cdot 5) - 4 | \begin{array}{c} 343 & 5 \\ 7 & 6 \end{array} | + 4 | \begin{array}{c} 343 & 343545 \\ 7 & 7 \end{array} |)$

Etapa 5.2.2.1.2

Multiplique $- 7$ por $5$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 \cdot - 2745616 - 44 (4 (2061270 - 35) - 4 | \begin{array}{c} 343 & 5 \\ 7 & 6 \end{array} | + 4 | \begin{array}{c} 343 & 343545 \\ 7 & 7 \end{array} |)$

Etapa 5.2.2.2

Subtraia $35$ de $2061270$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 \cdot - 2745616 - 44 (4 \cdot 2061235 - 4 | \begin{array}{c} 343 & 5 \\ 7 & 6 \end{array} | + 4 | \begin{array}{c} 343 & 343545 \\ 7 & 7 \end{array} |)$

Etapa 5.3

Avalie $| \begin{array}{c} 343 & 5 \\ 7 & 6 \end{array} |$ .

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Etapa 5.3.1

O determinante de uma matriz $2 \times 2$ pode ser encontrado ao usar a fórmula $| \begin{array}{c} a & b \\ c & d \end{array} | = a d - c b$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 \cdot - 2745616 - 44 (4 \cdot 2061235 - 4 (343 \cdot 6 - 7 \cdot 5) + 4 | \begin{array}{c} 343 & 343545 \\ 7 & 7 \end{array} |)$

Etapa 5.3.2

Simplifique o determinante.

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Etapa 5.3.2.1

Simplifique cada termo.

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Etapa 5.3.2.1.1

Multiplique $343$ por $6$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 \cdot - 2745616 - 44 (4 \cdot 2061235 - 4 (2058 - 7 \cdot 5) + 4 | \begin{array}{c} 343 & 343545 \\ 7 & 7 \end{array} |)$

Etapa 5.3.2.1.2

Multiplique $- 7$ por $5$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 \cdot - 2745616 - 44 (4 \cdot 2061235 - 4 (2058 - 35) + 4 | \begin{array}{c} 343 & 343545 \\ 7 & 7 \end{array} |)$

Etapa 5.3.2.2

Subtraia $35$ de $2058$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 \cdot - 2745616 - 44 (4 \cdot 2061235 - 4 \cdot 2023 + 4 | \begin{array}{c} 343 & 343545 \\ 7 & 7 \end{array} |)$

Etapa 5.4

Avalie $| \begin{array}{c} 343 & 343545 \\ 7 & 7 \end{array} |$ .

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Etapa 5.4.1

O determinante de uma matriz $2 \times 2$ pode ser encontrado ao usar a fórmula $| \begin{array}{c} a & b \\ c & d \end{array} | = a d - c b$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 \cdot - 2745616 - 44 (4 \cdot 2061235 - 4 \cdot 2023 + 4 (343 \cdot 7 - 7 \cdot 343545))$

Etapa 5.4.2

Simplifique o determinante.

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Etapa 5.4.2.1

Simplifique cada termo.

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Etapa 5.4.2.1.1

Multiplique $343$ por $7$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 \cdot - 2745616 - 44 (4 \cdot 2061235 - 4 \cdot 2023 + 4 (2401 - 7 \cdot 343545))$

Etapa 5.4.2.1.2

Multiplique $- 7$ por $343545$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 \cdot - 2745616 - 44 (4 \cdot 2061235 - 4 \cdot 2023 + 4 (2401 - 2404815))$

Etapa 5.4.2.2

Subtraia $2404815$ de $2401$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 \cdot - 2745616 - 44 (4 \cdot 2061235 - 4 \cdot 2023 + 4 \cdot - 2402414)$

Etapa 5.5

Simplifique o determinante.

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Etapa 5.5.1

Simplifique cada termo.

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Etapa 5.5.1.1

Multiplique $4$ por $2061235$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 \cdot - 2745616 - 44 (8244940 - 4 \cdot 2023 + 4 \cdot - 2402414)$

Etapa 5.5.1.2

Multiplique $- 4$ por $2023$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 \cdot - 2745616 - 44 (8244940 - 8092 + 4 \cdot - 2402414)$

Etapa 5.5.1.3

Multiplique $4$ por $- 2402414$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 \cdot - 2745616 - 44 (8244940 - 8092 - 9609656)$

Etapa 5.5.2

Subtraia $8092$ de $8244940$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 \cdot - 2745616 - 44 (8236848 - 9609656)$

Etapa 5.5.3

Subtraia $9609656$ de $8236848$ .

$3 \cdot 1374408 - 4 \cdot 1600 + 4 \cdot - 2745616 - 44 \cdot - 1372808$

Etapa 6

Simplifique o determinante.

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Etapa 6.1

Simplifique cada termo.

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Etapa 6.1.1

Multiplique $3$ por $1374408$ .

$4123224 - 4 \cdot 1600 + 4 \cdot - 2745616 - 44 \cdot - 1372808$

Etapa 6.1.2

Multiplique $- 4$ por $1600$ .

$4123224 - 6400 + 4 \cdot - 2745616 - 44 \cdot - 1372808$

Etapa 6.1.3

Multiplique $4$ por $- 2745616$ .

$4123224 - 6400 - 10982464 - 44 \cdot - 1372808$

Etapa 6.1.4

Multiplique $- 44$ por $- 1372808$ .

$4123224 - 6400 - 10982464 + 60403552$

Etapa 6.2

Subtraia $6400$ de $4123224$ .

$4116824 - 10982464 + 60403552$

Etapa 6.3

Subtraia $10982464$ de $4116824$ .

$- 6865640 + 60403552$

Etapa 6.4

Some $- 6865640$ e $60403552$ .

$53537912$