$$$\left[\begin{array}{c}\frac{i a g h m n r s e^{e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\end{array}\right]\cdot \left[\begin{array}{c}i a g h m n r s t^{2} e^{e i n o r s^{2}}\end{array}\right]$$$
Verwandter Rechner: Matrizenrechner
Ihre Eingabe
Berechne $$$\left[\begin{array}{c}\frac{i a g h m n r s e^{e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\end{array}\right]\cdot \left[\begin{array}{c}i a g h m n r s t^{2} e^{e i n o r s^{2}}\end{array}\right].$$$
Lösung
$$$\left[\begin{array}{c}{\color{BlueViolet}\frac{i a g h m n r s e^{e i n o r s^{2}}}{\left|{a g h m n r s}\right|}}\end{array}\right]\cdot \left[\begin{array}{c}{\color{Peru}i a g h m n r s t^{2} e^{e i n o r s^{2}}}\end{array}\right] = \left[\begin{array}{c}{\color{BlueViolet}\left(\frac{i a g h m n r s e^{e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\right)}\cdot {\color{Peru}\left(i a g h m n r s t^{2} e^{e i n o r s^{2}}\right)}\end{array}\right] = \left[\begin{array}{c}- \frac{a^{2} g^{2} h^{2} m^{2} n^{2} r^{2} s^{2} t^{2} e^{2 e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\end{array}\right]$$$
Antwort
$$$\left[\begin{array}{c}\frac{i a g h m n r s e^{e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\end{array}\right]\cdot \left[\begin{array}{c}i a g h m n r s t^{2} e^{e i n o r s^{2}}\end{array}\right] = \left[\begin{array}{c}- \frac{a^{2} g^{2} h^{2} m^{2} n^{2} r^{2} s^{2} t^{2} e^{2 e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\end{array}\right]$$$A