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JEE Math Practice Question

Let $$A = \left[ {\begin{matrix} i & { - i} \\ { - i} & i \\ \end{matrix} } \right],i = \sqrt { - 1} $$. Then, the system of linear equations $${A^8}\left[ {\begin{matrix} x \\ y \\ \end{matrix} } \right] = \left[ {\begin{matrix} 8 \\ {64} \\ \end{matrix} } \right]$$ has :

  1. A.Exactly two solutions
  2. B.Infinitely many solutions
  3. C.A unique solution
  4. D.No solution

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