If $A=\begin{bmatrix}2 & 0 & 0 \\ 0 & 2 & 0\\ 0& 0 & 2\end{bmatrix}$ then $A^5$ is :
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → $16A$
$A=\begin{bmatrix}2 & 0 & 0 \\ 0 & 2 & 0\\ 0& 0 & 2\end{bmatrix}=2I$
$A^5=2^5I=2^4(2I)$
$=2^4A$
$=16A$