Practicing Success
If $A=\begin{bmatrix} 3 & -2\\ 4 & -2\\ \end{bmatrix}$ and $ I=\begin{bmatrix} 1 & 0\\ 0 & 1\\ \end{bmatrix}$, then for what value of $k$ we have $A^2=kA-2I$ |
$k=1$ $k=2$ $k=-1$ $k=3$ |
$k=-1$ |
Solving the matrix equation $A^2-kA+2I=0$ will give the values of $k$. |