Question
If $A=\left(\begin{array}{lll}1 & 2 & 3 \\ 1 & 2 & 4 \\ 1 & 1 & 5\end{array}\right)$ then $\left|A^{201}-A^{200}\right|$ is(a) 0(b) 1(c) 201(d) 200
Step 1
We can simplify this expression by taking $A^{200}$ as a common factor. So, we have: \[ \left|A^{201}-A^{200}\right| = \left|A^{200}(A-I)\right| \] Show more…
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