# If Matrix A = $\begin{bmatrix} 2 &-2 \\ -2 & 2 \end{bmatrix}$, and $A^2=pA$, then write the value of $p$.

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$A=\begin{bmatrix} 2 & -2 \\ -2 & 2 \end{bmatrix}$
$A^2=\begin{bmatrix} 4 & -4 \\ -4 & 4 \end{bmatrix}=2\begin{bmatrix} 2 & -2 \\ -2 & 2 \end{bmatrix}$
$A^2=PA \qquad =>P=2$
answered Mar 22, 2013 by