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QUESTION It can be shown that $\det AB=\det A\det B$ (where $A,B$
are both $n\times n$ matrices). Illustrate this result for the
following matrices:

$$A=\left[\begin{array}{ccc}1&amp;0&amp;2\\-5&amp;1&amp;3\\6&amp;-2&amp;4\end{array}\right],
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B=\left[\begin{array}{ccc}2&amp;1&amp;3\\0&amp;5&amp;-6\\7&amp;-2&amp;5\end{array}\right].$$

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ANSWER\ \ \  $\det A$=18\ \ $\det B$=-121\ \ $\det
AB=-2178=18\times-1221$

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$$AB=\left[\begin{array}{ccc}16&amp;-3&amp;13\\11&amp;-6&amp;-6\\40&amp;-12&amp;50\end{array}\right]$$



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