$$$\left[\begin{array}{cc}\frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2}\end{array}\right]\cdot \left[\begin{array}{c}\frac{\sqrt{2}}{2}\\\frac{\sqrt{2}}{2}\end{array}\right]$$$

계산기는 $$$1$$$x$$$2$$$ 행렬 $$$\left[\begin{array}{cc}\frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2}\end{array}\right]$$$에 $$$2$$$x$$$1$$$ 행렬 $$$\left[\begin{array}{c}\frac{\sqrt{2}}{2}\\\frac{\sqrt{2}}{2}\end{array}\right]$$$를 곱하며, 단계별 풀이를 보여 줍니다.

사용자 입력

$$$\left[\begin{array}{cc}\frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2}\end{array}\right]\cdot \left[\begin{array}{c}\frac{\sqrt{2}}{2}\\\frac{\sqrt{2}}{2}\end{array}\right]$$$을(를) 계산하세요.

풀이

$$$\left[\begin{array}{cc}{\color{Fuchsia}\frac{\sqrt{2}}{2}} & {\color{Chartreuse}\frac{\sqrt{2}}{2}}\end{array}\right]\cdot \left[\begin{array}{c}{\color{Red}\frac{\sqrt{2}}{2}}\\{\color{DarkCyan}\frac{\sqrt{2}}{2}}\end{array}\right] = \left[\begin{array}{c}{\color{Fuchsia}\left(\frac{\sqrt{2}}{2}\right)}\cdot {\color{Red}\left(\frac{\sqrt{2}}{2}\right)} + {\color{Chartreuse}\left(\frac{\sqrt{2}}{2}\right)}\cdot {\color{DarkCyan}\left(\frac{\sqrt{2}}{2}\right)}\end{array}\right] = \left[\begin{array}{c}1\end{array}\right]$$$

정답

$$$\left[\begin{array}{cc}\frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2}\end{array}\right]\cdot \left[\begin{array}{c}\frac{\sqrt{2}}{2}\\\frac{\sqrt{2}}{2}\end{array}\right] = \left[\begin{array}{c}1\end{array}\right]$$$A