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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:

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

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

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



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