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Question 1
If $A = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}$, then $I + A + A^2 + A^3 + \cdots \infty$ equals:
A.
$\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$
B.
$\begin{bmatrix} -1 & -2 \\ -3 & -4 \end{bmatrix}$
C.
$\begin{bmatrix} \tfrac{1}{2} & -\tfrac{1}{3} \\ -\tfrac{1}{2} & 0 \end{bmatrix}$
D.
$\begin{bmatrix} -\tfrac{1}{3} & \tfrac{1}{4} \\ \tfrac{1}{2} & 0 \end{bmatrix}$
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