$$$\left[\begin{array}{cc}\frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2}\end{array}\right]\cdot \left[\begin{array}{c}\frac{\sqrt{2}}{2}\\\frac{\sqrt{2}}{2}\end{array}\right]$$$
Verwandter Rechner: Matrizenrechner
Ihre Eingabe
Berechne $$$\left[\begin{array}{cc}\frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2}\end{array}\right]\cdot \left[\begin{array}{c}\frac{\sqrt{2}}{2}\\\frac{\sqrt{2}}{2}\end{array}\right].$$$
Lösung
$$$\left[\begin{array}{cc}{\color{Brown}\frac{\sqrt{2}}{2}} & {\color{Chartreuse}\frac{\sqrt{2}}{2}}\end{array}\right]\cdot \left[\begin{array}{c}{\color{Magenta}\frac{\sqrt{2}}{2}}\\{\color{Red}\frac{\sqrt{2}}{2}}\end{array}\right] = \left[\begin{array}{c}{\color{Brown}\left(\frac{\sqrt{2}}{2}\right)}\cdot {\color{Magenta}\left(\frac{\sqrt{2}}{2}\right)} + {\color{Chartreuse}\left(\frac{\sqrt{2}}{2}\right)}\cdot {\color{Red}\left(\frac{\sqrt{2}}{2}\right)}\end{array}\right] = \left[\begin{array}{c}1\end{array}\right]$$$
Antwort
$$$\left[\begin{array}{cc}\frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2}\end{array}\right]\cdot \left[\begin{array}{c}\frac{\sqrt{2}}{2}\\\frac{\sqrt{2}}{2}\end{array}\right] = \left[\begin{array}{c}1\end{array}\right]$$$A