Appeared in: 2024 (2 sets)
If $A = \begin{bmatrix} 2 & 1 \\ -4 & -2 \end{bmatrix}$, then the value of $I - A + A^2 - A^3 + \dots$ is :
(A) $\begin{bmatrix} -1 & -1 \\ 4 & 3 \end{bmatrix}$
(B) $\begin{bmatrix} 3 & 1 \\ -4 & -1 \end{bmatrix}$
(C) $\begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}$
(D) $\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$