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

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

관련 계산기: 행렬 계산기

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A
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A

계산기가 무언가를 계산하지 못했거나 오류를 발견하셨거나, 제안이나 피드백이 있으시다면 문의해 주세요.

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

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

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


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