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JEE Math Practice Question

Let $$\alpha $$ be a root of the equation x2 + x + 1 = 0 and the matrix A = $${1 \over {\sqrt 3 }}\left[ {\begin{matrix} 1 & 1 & 1 \\ 1 & \alpha & {{\alpha ^2}} \\ 1 & {{\alpha ^2}} & {{\alpha ^4}} \\ \end{matrix} } \right]$$ then the matrix A31 is equal to

  1. A.A2
  2. B.A
  3. C.I3
  4. D.A3

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