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Let $A = \begin{bmatrix} i & -i \ -i & i \end{bmatrix}$, $i = \sqrt{-1}$. Then, the system of linear equations $A^8 \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 8 \ 64 \end{bmatrix}$ has:
(1) A unique solution
(2) Infinitely many solutions
(3) No solution
(4) Exactly two solutions
BETA
