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

$$$\left[\begin{array}{ccc}0 & 1 & 0\\\frac{\sqrt{2}}{2} & \sqrt{2} & \frac{\sqrt{2}}{2}\\\frac{\sqrt{2}}{2} & 0 & \frac{\sqrt{2}}{2}\end{array}\right]\cdot \left[\begin{array}{c}\frac{\sqrt{3}}{3}\\- \frac{\sqrt{3}}{3}\\\frac{\sqrt{3}}{3}\end{array}\right]$$$을(를) 계산하세요.

$$$\left[\begin{array}{ccc}{\color{DarkBlue}0} & {\color{OrangeRed}1} & {\color{SaddleBrown}0}\\{\color{Crimson}\frac{\sqrt{2}}{2}} & {\color{Green}\sqrt{2}} & {\color{BlueViolet}\frac{\sqrt{2}}{2}}\\{\color{Peru}\frac{\sqrt{2}}{2}} & {\color{Chocolate}0} & {\color{DarkCyan}\frac{\sqrt{2}}{2}}\end{array}\right]\cdot \left[\begin{array}{c}{\color{Peru}\frac{\sqrt{3}}{3}}\\{\color{Purple}- \frac{\sqrt{3}}{3}}\\{\color{DarkMagenta}\frac{\sqrt{3}}{3}}\end{array}\right] = \left[\begin{array}{c}{\color{DarkBlue}\left(0\right)}\cdot {\color{Peru}\left(\frac{\sqrt{3}}{3}\right)} + {\color{OrangeRed}\left(1\right)}\cdot {\color{Purple}\left(- \frac{\sqrt{3}}{3}\right)} + {\color{SaddleBrown}\left(0\right)}\cdot {\color{DarkMagenta}\left(\frac{\sqrt{3}}{3}\right)}\\{\color{Crimson}\left(\frac{\sqrt{2}}{2}\right)}\cdot {\color{Peru}\left(\frac{\sqrt{3}}{3}\right)} + {\color{Green}\left(\sqrt{2}\right)}\cdot {\color{Purple}\left(- \frac{\sqrt{3}}{3}\right)} + {\color{BlueViolet}\left(\frac{\sqrt{2}}{2}\right)}\cdot {\color{DarkMagenta}\left(\frac{\sqrt{3}}{3}\right)}\\{\color{Peru}\left(\frac{\sqrt{2}}{2}\right)}\cdot {\color{Peru}\left(\frac{\sqrt{3}}{3}\right)} + {\color{Chocolate}\left(0\right)}\cdot {\color{Purple}\left(- \frac{\sqrt{3}}{3}\right)} + {\color{DarkCyan}\left(\frac{\sqrt{2}}{2}\right)}\cdot {\color{DarkMagenta}\left(\frac{\sqrt{3}}{3}\right)}\end{array}\right] = \left[\begin{array}{c}- \frac{\sqrt{3}}{3}\\0\\\frac{\sqrt{6}}{3}\end{array}\right]$$$

$$$\left[\begin{array}{ccc}0 & 1 & 0\\\frac{\sqrt{2}}{2} & \sqrt{2} & \frac{\sqrt{2}}{2}\\\frac{\sqrt{2}}{2} & 0 & \frac{\sqrt{2}}{2}\end{array}\right]\cdot \left[\begin{array}{c}\frac{\sqrt{3}}{3}\\- \frac{\sqrt{3}}{3}\\\frac{\sqrt{3}}{3}\end{array}\right] = \left[\begin{array}{c}- \frac{\sqrt{3}}{3}\\0\\\frac{\sqrt{6}}{3}\end{array}\right]\approx \left[\begin{array}{c}-0.577350269189626\\0\\0.816496580927726\end{array}\right]$$$A