Aljabar Linear Contoh

$[\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}] + [\begin{array}{c} 0 & - 1 & 0 & - 2 \\ - 1 & 1 & 2 & - 2 \\ 0 & - 1 & - 3 & 3 \\ 2 & - 2 & - 3 & 2 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 1

Tambahkan elemen yang seletak.

$[\begin{array}{c} 0 + 0 & 1 - 1 & 0 + 0 & 2 - 2 \\ 1 - 1 & - 1 + 1 & - 2 + 2 & 2 - 2 \\ 0 + 0 & 1 - 1 & 3 - 3 & - 3 + 3 \\ - 2 + 2 & 2 - 2 & 3 - 3 & - 2 + 2 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 2

Simplify each element.

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Langkah 2.1

Tambahkan $0$ dan $0$ .

$[\begin{array}{c} 0 & 1 - 1 & 0 + 0 & 2 - 2 \\ 1 - 1 & - 1 + 1 & - 2 + 2 & 2 - 2 \\ 0 + 0 & 1 - 1 & 3 - 3 & - 3 + 3 \\ - 2 + 2 & 2 - 2 & 3 - 3 & - 2 + 2 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 2.2

Kurangi $1$ dengan $1$ .

$[\begin{array}{c} 0 & 0 & 0 + 0 & 2 - 2 \\ 1 - 1 & - 1 + 1 & - 2 + 2 & 2 - 2 \\ 0 + 0 & 1 - 1 & 3 - 3 & - 3 + 3 \\ - 2 + 2 & 2 - 2 & 3 - 3 & - 2 + 2 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 2.3

Tambahkan $0$ dan $0$ .

$[\begin{array}{c} 0 & 0 & 0 & 2 - 2 \\ 1 - 1 & - 1 + 1 & - 2 + 2 & 2 - 2 \\ 0 + 0 & 1 - 1 & 3 - 3 & - 3 + 3 \\ - 2 + 2 & 2 - 2 & 3 - 3 & - 2 + 2 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 2.4

Kurangi $2$ dengan $2$ .

$[\begin{array}{c} 0 & 0 & 0 & 0 \\ 1 - 1 & - 1 + 1 & - 2 + 2 & 2 - 2 \\ 0 + 0 & 1 - 1 & 3 - 3 & - 3 + 3 \\ - 2 + 2 & 2 - 2 & 3 - 3 & - 2 + 2 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 2.5

Kurangi $1$ dengan $1$ .

$[\begin{array}{c} 0 & 0 & 0 & 0 \\ 0 & - 1 + 1 & - 2 + 2 & 2 - 2 \\ 0 + 0 & 1 - 1 & 3 - 3 & - 3 + 3 \\ - 2 + 2 & 2 - 2 & 3 - 3 & - 2 + 2 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 2.6

Tambahkan $- 1$ dan $1$ .

$[\begin{array}{c} 0 & 0 & 0 & 0 \\ 0 & 0 & - 2 + 2 & 2 - 2 \\ 0 + 0 & 1 - 1 & 3 - 3 & - 3 + 3 \\ - 2 + 2 & 2 - 2 & 3 - 3 & - 2 + 2 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 2.7

Tambahkan $- 2$ dan $2$ .

$[\begin{array}{c} 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 2 - 2 \\ 0 + 0 & 1 - 1 & 3 - 3 & - 3 + 3 \\ - 2 + 2 & 2 - 2 & 3 - 3 & - 2 + 2 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 2.8

Kurangi $2$ dengan $2$ .

$[\begin{array}{c} 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 + 0 & 1 - 1 & 3 - 3 & - 3 + 3 \\ - 2 + 2 & 2 - 2 & 3 - 3 & - 2 + 2 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 2.9

Tambahkan $0$ dan $0$ .

$[\begin{array}{c} 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 1 - 1 & 3 - 3 & - 3 + 3 \\ - 2 + 2 & 2 - 2 & 3 - 3 & - 2 + 2 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 2.10

Kurangi $1$ dengan $1$ .

$[\begin{array}{c} 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 3 - 3 & - 3 + 3 \\ - 2 + 2 & 2 - 2 & 3 - 3 & - 2 + 2 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 2.11

Kurangi $3$ dengan $3$ .

$[\begin{array}{c} 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & - 3 + 3 \\ - 2 + 2 & 2 - 2 & 3 - 3 & - 2 + 2 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 2.12

Tambahkan $- 3$ dan $3$ .

$[\begin{array}{c} 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ - 2 + 2 & 2 - 2 & 3 - 3 & - 2 + 2 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 2.13

Tambahkan $- 2$ dan $2$ .

$[\begin{array}{c} 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 2 - 2 & 3 - 3 & - 2 + 2 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 2.14

Kurangi $2$ dengan $2$ .

$[\begin{array}{c} 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 3 - 3 & - 2 + 2 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 2.15

Kurangi $3$ dengan $3$ .

$[\begin{array}{c} 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & - 2 + 2 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 2.16

Tambahkan $- 2$ dan $2$ .

$[\begin{array}{c} 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 3

Adding any matrix to a null matrix is the matrix itself.

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Langkah 3.1

Tambahkan elemen yang seletak.

$[\begin{array}{c} 0 + 1 & 0 + 3 & 0 - 2 & 0 - 1 \\ 0 - 3 & 0 - 12 & 0 + 10 & 0 + 6 \\ 0 + 0 & 0 - 2 & 0 + 2 & 0 + 1 \\ 0 - 2 & 0 - 6 & 0 + 5 & 0 + 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 3.2

Simplify each element.

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Langkah 3.2.1

Tambahkan $0$ dan $1$ .

$[\begin{array}{c} 1 & 0 + 3 & 0 - 2 & 0 - 1 \\ 0 - 3 & 0 - 12 & 0 + 10 & 0 + 6 \\ 0 + 0 & 0 - 2 & 0 + 2 & 0 + 1 \\ 0 - 2 & 0 - 6 & 0 + 5 & 0 + 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 3.2.2

Tambahkan $0$ dan $3$ .

$[\begin{array}{c} 1 & 3 & 0 - 2 & 0 - 1 \\ 0 - 3 & 0 - 12 & 0 + 10 & 0 + 6 \\ 0 + 0 & 0 - 2 & 0 + 2 & 0 + 1 \\ 0 - 2 & 0 - 6 & 0 + 5 & 0 + 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 3.2.3

Kurangi $2$ dengan $0$ .

$[\begin{array}{c} 1 & 3 & - 2 & 0 - 1 \\ 0 - 3 & 0 - 12 & 0 + 10 & 0 + 6 \\ 0 + 0 & 0 - 2 & 0 + 2 & 0 + 1 \\ 0 - 2 & 0 - 6 & 0 + 5 & 0 + 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 3.2.4

Kurangi $1$ dengan $0$ .

$[\begin{array}{c} 1 & 3 & - 2 & - 1 \\ 0 - 3 & 0 - 12 & 0 + 10 & 0 + 6 \\ 0 + 0 & 0 - 2 & 0 + 2 & 0 + 1 \\ 0 - 2 & 0 - 6 & 0 + 5 & 0 + 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 3.2.5

Kurangi $3$ dengan $0$ .

$[\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & 0 - 12 & 0 + 10 & 0 + 6 \\ 0 + 0 & 0 - 2 & 0 + 2 & 0 + 1 \\ 0 - 2 & 0 - 6 & 0 + 5 & 0 + 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 3.2.6

Kurangi $12$ dengan $0$ .

$[\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 0 + 10 & 0 + 6 \\ 0 + 0 & 0 - 2 & 0 + 2 & 0 + 1 \\ 0 - 2 & 0 - 6 & 0 + 5 & 0 + 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 3.2.7

Tambahkan $0$ dan $10$ .

$[\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 0 + 6 \\ 0 + 0 & 0 - 2 & 0 + 2 & 0 + 1 \\ 0 - 2 & 0 - 6 & 0 + 5 & 0 + 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 3.2.8

Tambahkan $0$ dan $6$ .

$[\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 + 0 & 0 - 2 & 0 + 2 & 0 + 1 \\ 0 - 2 & 0 - 6 & 0 + 5 & 0 + 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 3.2.9

Tambahkan $0$ dan $0$ .

$[\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & 0 - 2 & 0 + 2 & 0 + 1 \\ 0 - 2 & 0 - 6 & 0 + 5 & 0 + 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 3.2.10

Kurangi $2$ dengan $0$ .

$[\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 0 + 2 & 0 + 1 \\ 0 - 2 & 0 - 6 & 0 + 5 & 0 + 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 3.2.11

Tambahkan $0$ dan $2$ .

$[\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 0 + 1 \\ 0 - 2 & 0 - 6 & 0 + 5 & 0 + 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 3.2.12

Tambahkan $0$ dan $1$ .

$[\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ 0 - 2 & 0 - 6 & 0 + 5 & 0 + 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 3.2.13

Kurangi $2$ dengan $0$ .

$[\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & 0 - 6 & 0 + 5 & 0 + 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 3.2.14

Kurangi $6$ dengan $0$ .

$[\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 0 + 5 & 0 + 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 3.2.15

Tambahkan $0$ dan $5$ .

$[\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 0 + 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 3.2.16

Tambahkan $0$ dan $3$ .

$[\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 1 & 3 & - 2 & - 1 \\ - 3 & - 12 & 10 & 6 \\ 0 & - 2 & 2 & 1 \\ - 2 & - 6 & 5 & 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 4

Tambahkan elemen yang seletak.

$[\begin{array}{c} 1 + 1 & 3 + 3 & - 2 - 2 & - 1 - 1 \\ - 3 - 3 & - 12 - 12 & 10 + 10 & 6 + 6 \\ 0 + 0 & - 2 - 2 & 2 + 2 & 1 + 1 \\ - 2 - 2 & - 6 - 6 & 5 + 5 & 3 + 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 5

Simplify each element.

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Langkah 5.1

Tambahkan $1$ dan $1$ .

$[\begin{array}{c} 2 & 3 + 3 & - 2 - 2 & - 1 - 1 \\ - 3 - 3 & - 12 - 12 & 10 + 10 & 6 + 6 \\ 0 + 0 & - 2 - 2 & 2 + 2 & 1 + 1 \\ - 2 - 2 & - 6 - 6 & 5 + 5 & 3 + 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 5.2

Tambahkan $3$ dan $3$ .

$[\begin{array}{c} 2 & 6 & - 2 - 2 & - 1 - 1 \\ - 3 - 3 & - 12 - 12 & 10 + 10 & 6 + 6 \\ 0 + 0 & - 2 - 2 & 2 + 2 & 1 + 1 \\ - 2 - 2 & - 6 - 6 & 5 + 5 & 3 + 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 5.3

Kurangi $2$ dengan $- 2$ .

$[\begin{array}{c} 2 & 6 & - 4 & - 1 - 1 \\ - 3 - 3 & - 12 - 12 & 10 + 10 & 6 + 6 \\ 0 + 0 & - 2 - 2 & 2 + 2 & 1 + 1 \\ - 2 - 2 & - 6 - 6 & 5 + 5 & 3 + 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 5.4

Kurangi $1$ dengan $- 1$ .

$[\begin{array}{c} 2 & 6 & - 4 & - 2 \\ - 3 - 3 & - 12 - 12 & 10 + 10 & 6 + 6 \\ 0 + 0 & - 2 - 2 & 2 + 2 & 1 + 1 \\ - 2 - 2 & - 6 - 6 & 5 + 5 & 3 + 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 5.5

Kurangi $3$ dengan $- 3$ .

$[\begin{array}{c} 2 & 6 & - 4 & - 2 \\ - 6 & - 12 - 12 & 10 + 10 & 6 + 6 \\ 0 + 0 & - 2 - 2 & 2 + 2 & 1 + 1 \\ - 2 - 2 & - 6 - 6 & 5 + 5 & 3 + 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 5.6

Kurangi $12$ dengan $- 12$ .

$[\begin{array}{c} 2 & 6 & - 4 & - 2 \\ - 6 & - 24 & 10 + 10 & 6 + 6 \\ 0 + 0 & - 2 - 2 & 2 + 2 & 1 + 1 \\ - 2 - 2 & - 6 - 6 & 5 + 5 & 3 + 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 5.7

Tambahkan $10$ dan $10$ .

$[\begin{array}{c} 2 & 6 & - 4 & - 2 \\ - 6 & - 24 & 20 & 6 + 6 \\ 0 + 0 & - 2 - 2 & 2 + 2 & 1 + 1 \\ - 2 - 2 & - 6 - 6 & 5 + 5 & 3 + 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 5.8

Tambahkan $6$ dan $6$ .

$[\begin{array}{c} 2 & 6 & - 4 & - 2 \\ - 6 & - 24 & 20 & 12 \\ 0 + 0 & - 2 - 2 & 2 + 2 & 1 + 1 \\ - 2 - 2 & - 6 - 6 & 5 + 5 & 3 + 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 5.9

Tambahkan $0$ dan $0$ .

$[\begin{array}{c} 2 & 6 & - 4 & - 2 \\ - 6 & - 24 & 20 & 12 \\ 0 & - 2 - 2 & 2 + 2 & 1 + 1 \\ - 2 - 2 & - 6 - 6 & 5 + 5 & 3 + 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 5.10

Kurangi $2$ dengan $- 2$ .

$[\begin{array}{c} 2 & 6 & - 4 & - 2 \\ - 6 & - 24 & 20 & 12 \\ 0 & - 4 & 2 + 2 & 1 + 1 \\ - 2 - 2 & - 6 - 6 & 5 + 5 & 3 + 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 5.11

Tambahkan $2$ dan $2$ .

$[\begin{array}{c} 2 & 6 & - 4 & - 2 \\ - 6 & - 24 & 20 & 12 \\ 0 & - 4 & 4 & 1 + 1 \\ - 2 - 2 & - 6 - 6 & 5 + 5 & 3 + 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 5.12

Tambahkan $1$ dan $1$ .

$[\begin{array}{c} 2 & 6 & - 4 & - 2 \\ - 6 & - 24 & 20 & 12 \\ 0 & - 4 & 4 & 2 \\ - 2 - 2 & - 6 - 6 & 5 + 5 & 3 + 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 5.13

Kurangi $2$ dengan $- 2$ .

$[\begin{array}{c} 2 & 6 & - 4 & - 2 \\ - 6 & - 24 & 20 & 12 \\ 0 & - 4 & 4 & 2 \\ - 4 & - 6 - 6 & 5 + 5 & 3 + 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 5.14

Kurangi $6$ dengan $- 6$ .

$[\begin{array}{c} 2 & 6 & - 4 & - 2 \\ - 6 & - 24 & 20 & 12 \\ 0 & - 4 & 4 & 2 \\ - 4 & - 12 & 5 + 5 & 3 + 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 5.15

Tambahkan $5$ dan $5$ .

$[\begin{array}{c} 2 & 6 & - 4 & - 2 \\ - 6 & - 24 & 20 & 12 \\ 0 & - 4 & 4 & 2 \\ - 4 & - 12 & 10 & 3 + 3 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 5.16

Tambahkan $3$ dan $3$ .

$[\begin{array}{c} 2 & 6 & - 4 & - 2 \\ - 6 & - 24 & 20 & 12 \\ 0 & - 4 & 4 & 2 \\ - 4 & - 12 & 10 & 6 \end{array}] + [\begin{array}{c} 0 & 1 & 0 & 2 \\ 1 & - 1 & - 2 & 2 \\ 0 & 1 & 3 & - 3 \\ - 2 & 2 & 3 & - 2 \end{array}]$

Langkah 6

Tambahkan elemen yang seletak.

$[\begin{array}{c} 2 + 0 & 6 + 1 & - 4 + 0 & - 2 + 2 \\ - 6 + 1 & - 24 - 1 & 20 - 2 & 12 + 2 \\ 0 + 0 & - 4 + 1 & 4 + 3 & 2 - 3 \\ - 4 - 2 & - 12 + 2 & 10 + 3 & 6 - 2 \end{array}]$

Langkah 7

Simplify each element.

Ketuk untuk lebih banyak langkah...

Langkah 7.1

Tambahkan $2$ dan $0$ .

$[\begin{array}{c} 2 & 6 + 1 & - 4 + 0 & - 2 + 2 \\ - 6 + 1 & - 24 - 1 & 20 - 2 & 12 + 2 \\ 0 + 0 & - 4 + 1 & 4 + 3 & 2 - 3 \\ - 4 - 2 & - 12 + 2 & 10 + 3 & 6 - 2 \end{array}]$

Langkah 7.2

Tambahkan $6$ dan $1$ .

$[\begin{array}{c} 2 & 7 & - 4 + 0 & - 2 + 2 \\ - 6 + 1 & - 24 - 1 & 20 - 2 & 12 + 2 \\ 0 + 0 & - 4 + 1 & 4 + 3 & 2 - 3 \\ - 4 - 2 & - 12 + 2 & 10 + 3 & 6 - 2 \end{array}]$

Langkah 7.3

Tambahkan $- 4$ dan $0$ .

$[\begin{array}{c} 2 & 7 & - 4 & - 2 + 2 \\ - 6 + 1 & - 24 - 1 & 20 - 2 & 12 + 2 \\ 0 + 0 & - 4 + 1 & 4 + 3 & 2 - 3 \\ - 4 - 2 & - 12 + 2 & 10 + 3 & 6 - 2 \end{array}]$

Langkah 7.4

Tambahkan $- 2$ dan $2$ .

$[\begin{array}{c} 2 & 7 & - 4 & 0 \\ - 6 + 1 & - 24 - 1 & 20 - 2 & 12 + 2 \\ 0 + 0 & - 4 + 1 & 4 + 3 & 2 - 3 \\ - 4 - 2 & - 12 + 2 & 10 + 3 & 6 - 2 \end{array}]$

Langkah 7.5

Tambahkan $- 6$ dan $1$ .

$[\begin{array}{c} 2 & 7 & - 4 & 0 \\ - 5 & - 24 - 1 & 20 - 2 & 12 + 2 \\ 0 + 0 & - 4 + 1 & 4 + 3 & 2 - 3 \\ - 4 - 2 & - 12 + 2 & 10 + 3 & 6 - 2 \end{array}]$

Langkah 7.6

Kurangi $1$ dengan $- 24$ .

$[\begin{array}{c} 2 & 7 & - 4 & 0 \\ - 5 & - 25 & 20 - 2 & 12 + 2 \\ 0 + 0 & - 4 + 1 & 4 + 3 & 2 - 3 \\ - 4 - 2 & - 12 + 2 & 10 + 3 & 6 - 2 \end{array}]$

Langkah 7.7

Kurangi $2$ dengan $20$ .

$[\begin{array}{c} 2 & 7 & - 4 & 0 \\ - 5 & - 25 & 18 & 12 + 2 \\ 0 + 0 & - 4 + 1 & 4 + 3 & 2 - 3 \\ - 4 - 2 & - 12 + 2 & 10 + 3 & 6 - 2 \end{array}]$

Langkah 7.8

Tambahkan $12$ dan $2$ .

$[\begin{array}{c} 2 & 7 & - 4 & 0 \\ - 5 & - 25 & 18 & 14 \\ 0 + 0 & - 4 + 1 & 4 + 3 & 2 - 3 \\ - 4 - 2 & - 12 + 2 & 10 + 3 & 6 - 2 \end{array}]$

Langkah 7.9

Tambahkan $0$ dan $0$ .

$[\begin{array}{c} 2 & 7 & - 4 & 0 \\ - 5 & - 25 & 18 & 14 \\ 0 & - 4 + 1 & 4 + 3 & 2 - 3 \\ - 4 - 2 & - 12 + 2 & 10 + 3 & 6 - 2 \end{array}]$

Langkah 7.10

Tambahkan $- 4$ dan $1$ .

$[\begin{array}{c} 2 & 7 & - 4 & 0 \\ - 5 & - 25 & 18 & 14 \\ 0 & - 3 & 4 + 3 & 2 - 3 \\ - 4 - 2 & - 12 + 2 & 10 + 3 & 6 - 2 \end{array}]$

Langkah 7.11

Tambahkan $4$ dan $3$ .

$[\begin{array}{c} 2 & 7 & - 4 & 0 \\ - 5 & - 25 & 18 & 14 \\ 0 & - 3 & 7 & 2 - 3 \\ - 4 - 2 & - 12 + 2 & 10 + 3 & 6 - 2 \end{array}]$

Langkah 7.12

Kurangi $3$ dengan $2$ .

$[\begin{array}{c} 2 & 7 & - 4 & 0 \\ - 5 & - 25 & 18 & 14 \\ 0 & - 3 & 7 & - 1 \\ - 4 - 2 & - 12 + 2 & 10 + 3 & 6 - 2 \end{array}]$

Langkah 7.13

Kurangi $2$ dengan $- 4$ .

$[\begin{array}{c} 2 & 7 & - 4 & 0 \\ - 5 & - 25 & 18 & 14 \\ 0 & - 3 & 7 & - 1 \\ - 6 & - 12 + 2 & 10 + 3 & 6 - 2 \end{array}]$

Langkah 7.14

Tambahkan $- 12$ dan $2$ .

$[\begin{array}{c} 2 & 7 & - 4 & 0 \\ - 5 & - 25 & 18 & 14 \\ 0 & - 3 & 7 & - 1 \\ - 6 & - 10 & 10 + 3 & 6 - 2 \end{array}]$

Langkah 7.15

Tambahkan $10$ dan $3$ .

$[\begin{array}{c} 2 & 7 & - 4 & 0 \\ - 5 & - 25 & 18 & 14 \\ 0 & - 3 & 7 & - 1 \\ - 6 & - 10 & 13 & 6 - 2 \end{array}]$

Langkah 7.16

Kurangi $2$ dengan $6$ .

$[\begin{array}{c} 2 & 7 & - 4 & 0 \\ - 5 & - 25 & 18 & 14 \\ 0 & - 3 & 7 & - 1 \\ - 6 & - 10 & 13 & 4 \end{array}]$