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  1. Etusivu
  2. Laskurit
  3. Laskurit: Lineaarialgebra
  4. Lineaarialgebran laskin

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

Laskin kertoo $$$1$$$x$$$2$$$-matriisin $$$\left[\begin{array}{cc}\frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2}\end{array}\right]$$$ $$$2$$$x$$$1$$$-matriisilla $$$\left[\begin{array}{c}\frac{\sqrt{2}}{2}\\\frac{\sqrt{2}}{2}\end{array}\right]$$$ ja näyttää vaiheet.

Aiheeseen liittyvä laskin: Matriisilaskin

$$$\times$$$
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Jos laskin ei laskenut jotakin tai olet havainnut virheen tai sinulla on ehdotus tai palaute, ole hyvä ja ota meihin yhteyttä.

Syötteesi

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

Ratkaisu

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

Vastaus

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