If $A=\left[\begin{array}{ll}0 & 1 \\ 0 & 0\end{array}\right]$, then $(a I+b A)^n$ is (where $I$ is the identify matrix of order 2)

Question

$a^2 I+a^{n-1} b \cdot A$

$a^n I+n \cdot a^{n-1} b \cdot A$

$a^n I+n a^n b A$

$a^n I+b^n A$

Please login to view the detailed solution steps...