Question
Let $A$ and $B$ be two matrices of order $n$ with trace $(A)=10$ and trace $(B)=2$. Then trace $(A B)$ is(a) 12(b) 8(c) 20(d) cannot be determined with the given data
Step 1
The product of these two matrices is another matrix $C = AB = (c_{ij})$. Show more…
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If $\mathrm{A}$ and $\mathrm{B}$ are two square matrices of order 4 such that $|\mathrm{A}|=-2$ and $|\mathrm{B}|=5$, then $|4 \mathrm{AB}|$ is (a) $-80$ (b) $-160$ (c) $-2560$ (d) $-256$
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