Question
If $A$ and $B$ are two square matrices of order 3 such that $|A|=-1,|B|=3$, then find $|3 A B|$.
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If $A$ and $B$ are $3 \times 3$ matrices and $|A| \neq 0$, then (a) $|A B|=0 \Rightarrow B \mid=0$ (b) $|A B| \neq 0 \Rightarrow B \mid \neq 0$ (c) $\left|A^{-1}\right|=\left.A\right|^{-1}$ (d) $|2 A|=2 \mid A$.
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