$$$\left[\begin{array}{ccc}3 & -4 & 2\\1 & 6 & 8\\2 & 7 & 9\end{array}\right]$$$의 기약 행 사다리꼴

$$$\left[\begin{array}{ccc}3 & -4 & 2\\1 & 6 & 8\\2 & 7 & 9\end{array}\right]$$$의 기약 행 사다리꼴 형태를 구하시오.

$$$1$$$번째 행을 $$$3$$$(으)로 나눈다: $$$R_{1} = \frac{R_{1}}{3}$$$.

$$$\left[\begin{array}{ccc}1 & - \frac{4}{3} & \frac{2}{3}\\1 & 6 & 8\\2 & 7 & 9\end{array}\right]$$$

행 $$$2$$$에서 행 $$$1$$$를 뺍니다: $$$R_{2} = R_{2} - R_{1}$$$.

$$$\left[\begin{array}{ccc}1 & - \frac{4}{3} & \frac{2}{3}\\0 & \frac{22}{3} & \frac{22}{3}\\2 & 7 & 9\end{array}\right]$$$

행 $$$3$$$에서 행 $$$1$$$의 $$$2$$$배를 빼십시오: $$$R_{3} = R_{3} - 2 R_{1}$$$.

$$$\left[\begin{array}{ccc}1 & - \frac{4}{3} & \frac{2}{3}\\0 & \frac{22}{3} & \frac{22}{3}\\0 & \frac{29}{3} & \frac{23}{3}\end{array}\right]$$$

행 $$$2$$$을(를) $$$\frac{3}{22}$$$배 합니다: $$$R_{2} = \frac{3 R_{2}}{22}$$$.

$$$\left[\begin{array}{ccc}1 & - \frac{4}{3} & \frac{2}{3}\\0 & 1 & 1\\0 & \frac{29}{3} & \frac{23}{3}\end{array}\right]$$$

$$$2$$$행에 $$$\frac{4}{3}$$$를 곱한 것을 $$$1$$$행에 더한다: $$$R_{1} = R_{1} + \frac{4 R_{2}}{3}$$$.

$$$\left[\begin{array}{ccc}1 & 0 & 2\\0 & 1 & 1\\0 & \frac{29}{3} & \frac{23}{3}\end{array}\right]$$$

행 $$$3$$$에서 행 $$$2$$$의 $$$\frac{29}{3}$$$배를 빼십시오: $$$R_{3} = R_{3} - \frac{29 R_{2}}{3}$$$.

$$$\left[\begin{array}{ccc}1 & 0 & 2\\0 & 1 & 1\\0 & 0 & -2\end{array}\right]$$$

$$$3$$$번째 행을 $$$-2$$$(으)로 나눈다: $$$R_{3} = - \frac{R_{3}}{2}$$$.

$$$\left[\begin{array}{ccc}1 & 0 & 2\\0 & 1 & 1\\0 & 0 & 1\end{array}\right]$$$

행 $$$1$$$에서 행 $$$3$$$의 $$$2$$$배를 빼십시오: $$$R_{1} = R_{1} - 2 R_{3}$$$.

$$$\left[\begin{array}{ccc}1 & 0 & 0\\0 & 1 & 1\\0 & 0 & 1\end{array}\right]$$$

행 $$$2$$$에서 행 $$$3$$$를 뺍니다: $$$R_{2} = R_{2} - R_{3}$$$.

$$$\left[\begin{array}{ccc}1 & 0 & 0\\0 & 1 & 0\\0 & 0 & 1\end{array}\right]$$$

기약 행 사다리꼴은 $$$\left[\begin{array}{ccc}1 & 0 & 0\\0 & 1 & 0\\0 & 0 & 1\end{array}\right]$$$A입니다.