선형 대수 예제

$[\begin{array}{c} 1 & 0 & 1 & 9 \\ 0 & 1 & 0 & 8 \\ 0 & 0 & - 1 & 6 \end{array}]$

단계 1

Multiply each element of $R_{3}$ by $- 1$ to make the entry at $3, 3$ a $1$ .

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단계 1.1

Multiply each element of $R_{3}$ by $- 1$ to make the entry at $3, 3$ a $1$ .

$[\begin{array}{c} 1 & 0 & 1 & 9 \\ 0 & 1 & 0 & 8 \\ - 0 & - 0 & - - 1 & - 1 \cdot 6 \end{array}]$

단계 1.2

$R_{3}$ 을 간단히 합니다.

$[\begin{array}{c} 1 & 0 & 1 & 9 \\ 0 & 1 & 0 & 8 \\ 0 & 0 & 1 & - 6 \end{array}]$

단계 2

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

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단계 2.1

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

$[\begin{array}{c} 1 - 0 & 0 - 0 & 1 - 1 & 9 + 6 \\ 0 & 1 & 0 & 8 \\ 0 & 0 & 1 & - 6 \end{array}]$

단계 2.2

$R_{1}$ 을 간단히 합니다.

$[\begin{array}{c} 1 & 0 & 0 & 15 \\ 0 & 1 & 0 & 8 \\ 0 & 0 & 1 & - 6 \end{array}]$