Álgebra linear Exemplos

$3 [\begin{array}{c} 0 & 0 & 2 \\ 3 & 1 & 0 \\ 0 & - 2 & 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1

Simplifique cada termo.

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Etapa 1.1

Multiplique $3$ por cada elemento da matriz.

$[\begin{array}{c} 3 \cdot 0 & 3 \cdot 0 & 3 \cdot 2 \\ 3 \cdot 3 & 3 \cdot 1 & 3 \cdot 0 \\ 3 \cdot 0 & 3 \cdot - 2 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.2

Simplifique cada elemento da matriz.

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Etapa 1.2.1

Multiplique $3$ por $0$ .

$[\begin{array}{c} 0 & 3 \cdot 0 & 3 \cdot 2 \\ 3 \cdot 3 & 3 \cdot 1 & 3 \cdot 0 \\ 3 \cdot 0 & 3 \cdot - 2 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.2.2

Multiplique $3$ por $0$ .

$[\begin{array}{c} 0 & 0 & 3 \cdot 2 \\ 3 \cdot 3 & 3 \cdot 1 & 3 \cdot 0 \\ 3 \cdot 0 & 3 \cdot - 2 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.2.3

Multiplique $3$ por $2$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 3 \cdot 3 & 3 \cdot 1 & 3 \cdot 0 \\ 3 \cdot 0 & 3 \cdot - 2 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.2.4

Multiplique $3$ por $3$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 \cdot 1 & 3 \cdot 0 \\ 3 \cdot 0 & 3 \cdot - 2 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.2.5

Multiplique $3$ por $1$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 3 \cdot 0 \\ 3 \cdot 0 & 3 \cdot - 2 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.2.6

Multiplique $3$ por $0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 3 \cdot 0 & 3 \cdot - 2 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.2.7

Multiplique $3$ por $0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & 3 \cdot - 2 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.2.8

Multiplique $3$ por $- 2$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 3 \cdot 4 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.2.9

Multiplique $3$ por $4$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] - 2 [\begin{array}{c} 0 & 2 & 1 \\ 3 & 0 & 5 \\ 7 & - 6 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.3

Multiplique $- 2$ por cada elemento da matriz.

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} - 2 \cdot 0 & - 2 \cdot 2 & - 2 \cdot 1 \\ - 2 \cdot 3 & - 2 \cdot 0 & - 2 \cdot 5 \\ - 2 \cdot 7 & - 2 \cdot - 6 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.4

Simplifique cada elemento da matriz.

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Etapa 1.4.1

Multiplique $- 2$ por $0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 2 \cdot 2 & - 2 \cdot 1 \\ - 2 \cdot 3 & - 2 \cdot 0 & - 2 \cdot 5 \\ - 2 \cdot 7 & - 2 \cdot - 6 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.4.2

Multiplique $- 2$ por $2$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \cdot 1 \\ - 2 \cdot 3 & - 2 \cdot 0 & - 2 \cdot 5 \\ - 2 \cdot 7 & - 2 \cdot - 6 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.4.3

Multiplique $- 2$ por $1$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 2 \cdot 3 & - 2 \cdot 0 & - 2 \cdot 5 \\ - 2 \cdot 7 & - 2 \cdot - 6 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.4.4

Multiplique $- 2$ por $3$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & - 2 \cdot 0 & - 2 \cdot 5 \\ - 2 \cdot 7 & - 2 \cdot - 6 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.4.5

Multiplique $- 2$ por $0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 2 \cdot 5 \\ - 2 \cdot 7 & - 2 \cdot - 6 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.4.6

Multiplique $- 2$ por $5$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 2 \cdot 7 & - 2 \cdot - 6 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.4.7

Multiplique $- 2$ por $7$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & - 2 \cdot - 6 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.4.8

Multiplique $- 2$ por $- 6$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & - 2 \cdot 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.4.9

Multiplique $- 2$ por $0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + 8 [\begin{array}{c} 1 & - 1 & 2 \\ 3 & 4 & 5 \\ 0 & 1 & - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.5

Multiplique $8$ por cada elemento da matriz.

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 \cdot 1 & 8 \cdot - 1 & 8 \cdot 2 \\ 8 \cdot 3 & 8 \cdot 4 & 8 \cdot 5 \\ 8 \cdot 0 & 8 \cdot 1 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.6

Simplifique cada elemento da matriz.

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Etapa 1.6.1

Multiplique $8$ por $1$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & 8 \cdot - 1 & 8 \cdot 2 \\ 8 \cdot 3 & 8 \cdot 4 & 8 \cdot 5 \\ 8 \cdot 0 & 8 \cdot 1 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.6.2

Multiplique $8$ por $- 1$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 8 \cdot 2 \\ 8 \cdot 3 & 8 \cdot 4 & 8 \cdot 5 \\ 8 \cdot 0 & 8 \cdot 1 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.6.3

Multiplique $8$ por $2$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 8 \cdot 3 & 8 \cdot 4 & 8 \cdot 5 \\ 8 \cdot 0 & 8 \cdot 1 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.6.4

Multiplique $8$ por $3$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 8 \cdot 4 & 8 \cdot 5 \\ 8 \cdot 0 & 8 \cdot 1 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.6.5

Multiplique $8$ por $4$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 8 \cdot 5 \\ 8 \cdot 0 & 8 \cdot 1 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.6.6

Multiplique $8$ por $5$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 8 \cdot 0 & 8 \cdot 1 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.6.7

Multiplique $8$ por $0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 \cdot 1 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.6.8

Multiplique $8$ por $1$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & 8 \cdot - 1 \end{array}] - 4 [\begin{array}{c} 0 & 25 & 12 & 0 & 5 & 0 \\ 6 & 75 & 8 & 75 & 7 & 5 \\ - 3 & 5 & 3 & 5 & - 1 & 0 \end{array}]$

Etapa 1.6.9

Multiplique $8$ por $- 1$ .

Etapa 1.7

Multiplique $- 4$ por cada elemento da matriz.

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} - 4 \cdot 0 & - 4 \cdot 25 & - 4 \cdot 12 & - 4 \cdot 0 & - 4 \cdot 5 & - 4 \cdot 0 \\ - 4 \cdot 6 & - 4 \cdot 75 & - 4 \cdot 8 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

Etapa 1.8

Simplifique cada elemento da matriz.

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Etapa 1.8.1

Multiplique $- 4$ por $0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 4 \cdot 25 & - 4 \cdot 12 & - 4 \cdot 0 & - 4 \cdot 5 & - 4 \cdot 0 \\ - 4 \cdot 6 & - 4 \cdot 75 & - 4 \cdot 8 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

Etapa 1.8.2

Multiplique $- 4$ por $25$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 4 \cdot 12 & - 4 \cdot 0 & - 4 \cdot 5 & - 4 \cdot 0 \\ - 4 \cdot 6 & - 4 \cdot 75 & - 4 \cdot 8 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

Etapa 1.8.3

Multiplique $- 4$ por $12$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & - 4 \cdot 0 & - 4 \cdot 5 & - 4 \cdot 0 \\ - 4 \cdot 6 & - 4 \cdot 75 & - 4 \cdot 8 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

Etapa 1.8.4

Multiplique $- 4$ por $0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 4 \cdot 5 & - 4 \cdot 0 \\ - 4 \cdot 6 & - 4 \cdot 75 & - 4 \cdot 8 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

Etapa 1.8.5

Multiplique $- 4$ por $5$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & - 4 \cdot 0 \\ - 4 \cdot 6 & - 4 \cdot 75 & - 4 \cdot 8 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

Etapa 1.8.6

Multiplique $- 4$ por $0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 4 \cdot 6 & - 4 \cdot 75 & - 4 \cdot 8 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

Etapa 1.8.7

Multiplique $- 4$ por $6$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 4 \cdot 75 & - 4 \cdot 8 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

Etapa 1.8.8

Multiplique $- 4$ por $75$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 4 \cdot 8 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

Etapa 1.8.9

Multiplique $- 4$ por $8$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 4 \cdot 75 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

Etapa 1.8.10

Multiplique $- 4$ por $75$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 4 \cdot 7 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

Etapa 1.8.11

Multiplique $- 4$ por $7$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 4 \cdot 5 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

Etapa 1.8.12

Multiplique $- 4$ por $5$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ - 4 \cdot - 3 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

Etapa 1.8.13

Multiplique $- 4$ por $- 3$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 4 \cdot 5 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

Etapa 1.8.14

Multiplique $- 4$ por $5$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 4 \cdot 3 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

Etapa 1.8.15

Multiplique $- 4$ por $3$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 4 \cdot 5 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

Etapa 1.8.16

Multiplique $- 4$ por $5$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & - 4 \cdot - 1 & - 4 \cdot 0 \end{array}]$

Etapa 1.8.17

Multiplique $- 4$ por $- 1$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & - 4 \cdot 0 \end{array}]$

Etapa 1.8.18

Multiplique $- 4$ por $0$ .

$[\begin{array}{c} 0 & 0 & 6 \\ 9 & 3 & 0 \\ 0 & - 6 & 12 \end{array}] + [\begin{array}{c} 0 & - 4 & - 2 \\ - 6 & 0 & - 10 \\ - 14 & 12 & 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

Etapa 2

Adicione os elementos correspondentes.

$[\begin{array}{c} 0 + 0 & 0 - 4 & 6 - 2 \\ 9 - 6 & 3 + 0 & 0 - 10 \\ 0 - 14 & - 6 + 12 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

Etapa 3

Simplify each element.

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Etapa 3.1

Some $0$ e $0$ .

$[\begin{array}{c} 0 & 0 - 4 & 6 - 2 \\ 9 - 6 & 3 + 0 & 0 - 10 \\ 0 - 14 & - 6 + 12 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

Etapa 3.2

Subtraia $4$ de $0$ .

$[\begin{array}{c} 0 & - 4 & 6 - 2 \\ 9 - 6 & 3 + 0 & 0 - 10 \\ 0 - 14 & - 6 + 12 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

Etapa 3.3

Subtraia $2$ de $6$ .

$[\begin{array}{c} 0 & - 4 & 4 \\ 9 - 6 & 3 + 0 & 0 - 10 \\ 0 - 14 & - 6 + 12 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

Etapa 3.4

Subtraia $6$ de $9$ .

$[\begin{array}{c} 0 & - 4 & 4 \\ 3 & 3 + 0 & 0 - 10 \\ 0 - 14 & - 6 + 12 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

Etapa 3.5

Some $3$ e $0$ .

$[\begin{array}{c} 0 & - 4 & 4 \\ 3 & 3 & 0 - 10 \\ 0 - 14 & - 6 + 12 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

Etapa 3.6

Subtraia $10$ de $0$ .

$[\begin{array}{c} 0 & - 4 & 4 \\ 3 & 3 & - 10 \\ 0 - 14 & - 6 + 12 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

Etapa 3.7

Subtraia $14$ de $0$ .

$[\begin{array}{c} 0 & - 4 & 4 \\ 3 & 3 & - 10 \\ - 14 & - 6 + 12 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

Etapa 3.8

Some $- 6$ e $12$ .

$[\begin{array}{c} 0 & - 4 & 4 \\ 3 & 3 & - 10 \\ - 14 & 6 & 12 + 0 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

Etapa 3.9

Some $12$ e $0$ .

$[\begin{array}{c} 0 & - 4 & 4 \\ 3 & 3 & - 10 \\ - 14 & 6 & 12 \end{array}] + [\begin{array}{c} 8 & - 8 & 16 \\ 24 & 32 & 40 \\ 0 & 8 & - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

Etapa 4

Adicione os elementos correspondentes.

$[\begin{array}{c} 0 + 8 & - 4 - 8 & 4 + 16 \\ 3 + 24 & 3 + 32 & - 10 + 40 \\ - 14 + 0 & 6 + 8 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

Etapa 5

Simplify each element.

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Etapa 5.1

Some $0$ e $8$ .

$[\begin{array}{c} 8 & - 4 - 8 & 4 + 16 \\ 3 + 24 & 3 + 32 & - 10 + 40 \\ - 14 + 0 & 6 + 8 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

Etapa 5.2

Subtraia $8$ de $- 4$ .

$[\begin{array}{c} 8 & - 12 & 4 + 16 \\ 3 + 24 & 3 + 32 & - 10 + 40 \\ - 14 + 0 & 6 + 8 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

Etapa 5.3

Some $4$ e $16$ .

$[\begin{array}{c} 8 & - 12 & 20 \\ 3 + 24 & 3 + 32 & - 10 + 40 \\ - 14 + 0 & 6 + 8 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

Etapa 5.4

Some $3$ e $24$ .

$[\begin{array}{c} 8 & - 12 & 20 \\ 27 & 3 + 32 & - 10 + 40 \\ - 14 + 0 & 6 + 8 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

Etapa 5.5

Some $3$ e $32$ .

$[\begin{array}{c} 8 & - 12 & 20 \\ 27 & 35 & - 10 + 40 \\ - 14 + 0 & 6 + 8 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

Etapa 5.6

Some $- 10$ e $40$ .

$[\begin{array}{c} 8 & - 12 & 20 \\ 27 & 35 & 30 \\ - 14 + 0 & 6 + 8 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

Etapa 5.7

Some $- 14$ e $0$ .

$[\begin{array}{c} 8 & - 12 & 20 \\ 27 & 35 & 30 \\ - 14 & 6 + 8 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

Etapa 5.8

Some $6$ e $8$ .

$[\begin{array}{c} 8 & - 12 & 20 \\ 27 & 35 & 30 \\ - 14 & 14 & 12 - 8 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$

Etapa 5.9

Subtraia $8$ de $12$ .

$[\begin{array}{c} 8 & - 12 & 20 \\ 27 & 35 & 30 \\ - 14 & 14 & 4 \end{array}] + [\begin{array}{c} 0 & - 100 & - 48 & 0 & - 20 & 0 \\ - 24 & - 300 & - 32 & - 300 & - 28 & - 20 \\ 12 & - 20 & - 12 & - 20 & 4 & 0 \end{array}]$