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

De rekenmachine zal de $$$1$$$x$$$2$$$ matrix $$$\left[\begin{array}{cc}\frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2}\end{array}\right]$$$ vermenigvuldigen met de $$$2$$$x$$$1$$$ matrix $$$\left[\begin{array}{c}\frac{\sqrt{2}}{2}\\\frac{\sqrt{2}}{2}\end{array}\right]$$$, waarbij de stappen worden getoond.

Gerelateerde rekenmachine: Matrixrekenmachine

Afmetingen van de eerste matrix:

$$$\times$$$

Matrix:

Afmetingen van de tweede matrix:

$$$\times$$$

Matrix:

Als de rekenmachine iets niet heeft berekend, als u een fout hebt ontdekt of als u een suggestie/feedback hebt, neem dan contact met ons op.

Uw invoer

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

Oplossing

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

Antwoord

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

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