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

A calculadora multiplicará a matriz $$$\left[\begin{array}{cc}\frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2}\end{array}\right]$$$ de $$$1$$$x$$$2$$$ pela matriz $$$\left[\begin{array}{c}\frac{\sqrt{2}}{2}\\\frac{\sqrt{2}}{2}\end{array}\right]$$$ de $$$2$$$x$$$1$$$, mostrando os passos.

Calculadora relacionada: Calculadora de Matrizes

Tamanho da primeira matriz:

$$$\times$$$

Matriz:

Tamanho da segunda matriz:

$$$\times$$$

Matriz:

Se a calculadora não funcionou como esperado, ou se você deseja relatar um erro ou compartilhar feedback, por favor entre em contato conosco.

Sua entrada

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

Solução

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

Resposta

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