유한 수학 예제

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

단계 1

Multiply each element of $R_{1}$ by $\frac{1}{6}$ to make the entry at $1, 1$ a $1$ .

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단계 1.1

Multiply each element of $R_{1}$ by $\frac{1}{6}$ to make the entry at $1, 1$ a $1$ .

$[\begin{array}{c} \frac{6}{6} & \frac{- 3}{6} & \frac{1}{6} \\ - 12 & 6 & - 2 \end{array}]$

단계 1.2

$R_{1}$ 을 간단히 합니다.

$[\begin{array}{c} 1 & - \frac{1}{2} & \frac{1}{6} \\ - 12 & 6 & - 2 \end{array}]$

단계 2

Perform the row operation $R_{2} = R_{2} + 12 R_{1}$ to make the entry at $2, 1$ a $0$ .

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단계 2.1

Perform the row operation $R_{2} = R_{2} + 12 R_{1}$ to make the entry at $2, 1$ a $0$ .

$[\begin{array}{c} 1 & - \frac{1}{2} & \frac{1}{6} \\ - 12 + 12 \cdot 1 & 6 + 12 (- \frac{1}{2}) & - 2 + 12 (\frac{1}{6}) \end{array}]$

단계 2.2

$R_{2}$ 을 간단히 합니다.

$[\begin{array}{c} 1 & - \frac{1}{2} & \frac{1}{6} \\ 0 & 0 & 0 \end{array}]$