(Solved): 17) Let \( A \) and \( B \) be 3 by 3 matrices with \( \operatorname{det}(\ma ...

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17) Let \( A \) and \( B \) be 3 by 3 matrices with \( \operatorname{det}(\mathrm{A})=4 \) and \( \operatorname{det}(\mathrm{B})=-3 \). Compute: a) \( \operatorname{det}(\mathrm{AB}) \) b) \( \operatorname{det}(5 \mathrm{~A}) \) c) \( \operatorname{det}\left(A^{-1}\right) \)