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

Kalkylatorn multiplicerar $$$1$$$x$$$2$$$-matrisen $$$\left[\begin{array}{cc}\frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2}\end{array}\right]$$$ med $$$2$$$x$$$1$$$-matrisen $$$\left[\begin{array}{c}\frac{\sqrt{2}}{2}\\\frac{\sqrt{2}}{2}\end{array}\right]$$$ och visar stegen.

Relaterad kalkylator: Matriskalkylator

Dimensioner för den första matrisen:

$$$\times$$$

Matris:

Dimensioner för den andra matrisen:

$$$\times$$$

Matris:

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Din inmatning

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

Lösning

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

Svar

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

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