$$$\left[\begin{array}{c}\frac{i a g h m n r s e^{e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\end{array}\right]\cdot \left[\begin{array}{c}i a g h m n r s t^{2} e^{e i n o r s^{2}}\end{array}\right]$$$

The calculator will multiply the $$$1$$$x$$$1$$$ matrix $$$\left[\begin{array}{c}\frac{i a g h m n r s e^{e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\end{array}\right]$$$ by the $$$1$$$x$$$1$$$ matrix $$$\left[\begin{array}{c}i a g h m n r s t^{2} e^{e i n o r s^{2}}\end{array}\right]$$$, with steps shown.

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Your Input

Calculate $$$\left[\begin{array}{c}\frac{i a g h m n r s e^{e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\end{array}\right]\cdot \left[\begin{array}{c}i a g h m n r s t^{2} e^{e i n o r s^{2}}\end{array}\right].$$$

Solution

$$$\left[\begin{array}{c}{\color{Red}\frac{i a g h m n r s e^{e i n o r s^{2}}}{\left|{a g h m n r s}\right|}}\end{array}\right]\cdot \left[\begin{array}{c}{\color{DeepPink}i a g h m n r s t^{2} e^{e i n o r s^{2}}}\end{array}\right] = \left[\begin{array}{c}{\color{Red}\left(\frac{i a g h m n r s e^{e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\right)}\cdot {\color{DeepPink}\left(i a g h m n r s t^{2} e^{e i n o r s^{2}}\right)}\end{array}\right] = \left[\begin{array}{c}- \frac{a^{2} g^{2} h^{2} m^{2} n^{2} r^{2} s^{2} t^{2} e^{2 e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\end{array}\right]$$$

Answer

$$$\left[\begin{array}{c}\frac{i a g h m n r s e^{e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\end{array}\right]\cdot \left[\begin{array}{c}i a g h m n r s t^{2} e^{e i n o r s^{2}}\end{array}\right] = \left[\begin{array}{c}- \frac{a^{2} g^{2} h^{2} m^{2} n^{2} r^{2} s^{2} t^{2} e^{2 e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\end{array}\right]$$$A


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