$$$\left[\begin{array}{ccc}\frac{\sqrt{6}}{6} & \frac{\sqrt{3}}{2} & \frac{\sqrt{3}}{6}\\- \frac{\sqrt{3}}{3} & 0 & \frac{\sqrt{6}}{3}\end{array}\right]$$$의 기약 행 사다리꼴

$$$\left[\begin{array}{ccc}\frac{\sqrt{6}}{6} & \frac{\sqrt{3}}{2} & \frac{\sqrt{3}}{6}\\- \frac{\sqrt{3}}{3} & 0 & \frac{\sqrt{6}}{3}\end{array}\right]$$$의 기약 행 사다리꼴 형태를 구하시오.

행 $$$1$$$을(를) $$$\sqrt{6}$$$배 합니다: $$$R_{1} = \sqrt{6} R_{1}$$$.

$$$\left[\begin{array}{ccc}1 & \frac{3 \sqrt{2}}{2} & \frac{\sqrt{2}}{2}\\- \frac{\sqrt{3}}{3} & 0 & \frac{\sqrt{6}}{3}\end{array}\right]$$$

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

$$$\left[\begin{array}{ccc}1 & \frac{3 \sqrt{2}}{2} & \frac{\sqrt{2}}{2}\\0 & \frac{\sqrt{6}}{2} & \frac{\sqrt{6}}{2}\end{array}\right]$$$

행 $$$2$$$을(를) $$$\frac{\sqrt{6}}{3}$$$배 합니다: $$$R_{2} = \frac{\sqrt{6}}{3} R_{2}$$$.

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

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

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

기약 행 사다리꼴은 $$$\left[\begin{array}{ccc}1 & 0 & - \sqrt{2}\\0 & 1 & 1\end{array}\right]\approx \left[\begin{array}{ccc}1 & 0 & -1.414213562373095\\0 & 1 & 1\end{array}\right]$$$A입니다.