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  2. Kalkylatorer
  3. Kalkylatorer: Linjär algebra
  4. Kalkylator för linjär algebra

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

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

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A
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A

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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

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

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