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

La calculadora multiplicará la matriz $$$\left[\begin{array}{cc}\frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2}\end{array}\right]$$$ de $$$1$$$x$$$2$$$ por la matriz $$$\left[\begin{array}{c}\frac{\sqrt{2}}{2}\\\frac{\sqrt{2}}{2}\end{array}\right]$$$ de $$$2$$$x$$$1$$$, mostrando los pasos.

Calculadora relacionada: Calculadora de matrices

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Tu entrada

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

Solución

$$$\left[\begin{array}{cc}{\color{Purple}\frac{\sqrt{2}}{2}} & {\color{Brown}\frac{\sqrt{2}}{2}}\end{array}\right]\cdot \left[\begin{array}{c}{\color{Peru}\frac{\sqrt{2}}{2}}\\{\color{DarkBlue}\frac{\sqrt{2}}{2}}\end{array}\right] = \left[\begin{array}{c}{\color{Purple}\left(\frac{\sqrt{2}}{2}\right)}\cdot {\color{Peru}\left(\frac{\sqrt{2}}{2}\right)} + {\color{Brown}\left(\frac{\sqrt{2}}{2}\right)}\cdot {\color{DarkBlue}\left(\frac{\sqrt{2}}{2}\right)}\end{array}\right] = \left[\begin{array}{c}1\end{array}\right]$$$

Respuesta

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