A = \(\begin{bmatrix}3&-2\\ \lambda&-2\end{bmatrix}\)
A2 = \(\begin{bmatrix}3&-2\\ \lambda&-2\end{bmatrix}\) \(\begin{bmatrix}3&-2\\ \lambda&-2\end{bmatrix}\) = \(\begin{bmatrix}9-2\lambda&-2\\ \lambda&-2\lambda+4\end{bmatrix}\)
⇒ \(\begin{bmatrix}9-2\lambda&-2\\ \lambda&-2\lambda+4\end{bmatrix}\) = \(\begin{bmatrix}9-2\lambda&-2\\ \lambda&-2\lambda+4\end{bmatrix}\)
\(\therefore\) -2\(\lambda\) = -2
⇒ \(\lambda=1\)