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  3. Rekenmachines: Lineaire algebra
  4. Rekenmachine voor lineaire algebra

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

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

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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

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

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