If A `A=[[3,-2],[ 4,-2]]`and `I=[[1, 0],[ 0, 1]]`, find k so that `A^2=k A-2I`.

Explanation

To solve the problem, we need to find the value of \( k \) such that \( A^2 = kA - 2I \), where

\[ A = \begin{bmatrix} 3 & -2 \\ 4 & -2 \end{bmatrix} \]
and
\[
I = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}.
...