Question: Let $A$ be a matrix such that $A .\left[\begin{array}{ll}1 & 2 \\ 0 & 3\end{array}\right]$ is a scalar matrix and $|3 \mathrm{~A}|=108$. Then $\mathrm{A}^{2}$ equals :
$\left[\begin{array}{cc}36 & -32 \\ 0 & 4\end{array}\right]$
$\left[\begin{array}{cc}4 & 0 \\ -32 & 36\end{array}\right]$
$\left[\begin{array}{cc}4 & -32 \\ 0 & 36\end{array}\right]$
$\left[\begin{array}{cc}36 & 0 \\ -32 & 4\end{array}\right]$
Correct Option: 1
Solution:
Solution not required
