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$[\begin{array}{c} 1 & 0 & - 12 \\ 0 & 1 & 2 \\ 0 & 0 & 1 \end{array}]$

Bước 1

Perform the row operation $R_{2} = R_{2} - 2 R_{3}$ to make the entry at $2, 3$ a $0$ .

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Bước 1.1

Perform the row operation $R_{2} = R_{2} - 2 R_{3}$ to make the entry at $2, 3$ a $0$ .

$[\begin{array}{c} 1 & 0 & - 12 \\ 0 - 2 \cdot 0 & 1 - 2 \cdot 0 & 2 - 2 \cdot 1 \\ 0 & 0 & 1 \end{array}]$

Bước 1.2

Rút gọn $R_{2}$ .

$[\begin{array}{c} 1 & 0 & - 12 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array}]$

Bước 2

Perform the row operation $R_{1} = R_{1} + 12 R_{3}$ to make the entry at $1, 3$ a $0$ .

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Bước 2.1

Perform the row operation $R_{1} = R_{1} + 12 R_{3}$ to make the entry at $1, 3$ a $0$ .

$[\begin{array}{c} 1 + 12 \cdot 0 & 0 + 12 \cdot 0 & - 12 + 12 \cdot 1 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array}]$

Bước 2.2

Rút gọn $R_{1}$ .

$[\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array}]$