If $M=\left(\begin{array}{cc}\frac{5}{2} & \frac{3}{2} \\ -\frac{3}{2} & -\frac{1}{2}\end{array}\right)$, then which of the following matrices is equal to $M^{2022}$ ?

The matrix $A^2 + 4A – 5I$, where $I$ is identity matrix and $A = \left[ {\begin{array}{*{20}{c}}
1&2\\
4&{ – 3}
\end{array}} \right]$ , equals

If $A = [a\,\,b],B = [ – b – a]$ and $C = \left[ \begin{array}{l}\,\,\,\,a\\ – a\end{array} \right]$, then the correct statement is

If $A = \left[ {\begin{array}{*{20}{c}}i&0\\0&i\end{array}} \right]$, then ${A^2} = $

If $A = \left[ {\begin{array}{*{20}{c}}1&1\\1&1\end{array}} \right],$then ${A^{100}} = $