\[ \text{For the matrix A = } \begin{bmatrix} 3 & 2 \\ 1 & 1 \end{bmatrix}, \text{ find the numbers a and b such that } A^{2} + aA + bI = O \]

Question

$\begin{array}{1 1} a=4,b=1 \\ a=-4,b=1 \\ a=-4,b=-1 \\ a=4,b=-1 \end{array} $