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Matrices and Determinants question

2020 · 7 Jan · Shift 1 · Q27
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Matrices and Determinants question

2020 · 7 Jan · Shift 1 · Q27

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
Let α\alphaα be a root of the equation x2 + x + 1 = 0 and the matrix A =13[1111αα21α2α4]{1 \over {\sqrt 3 }}\left[ {\begin{matrix} 1 & 1 & 1 \\ 1 & \alpha & {{\alpha ^2}} \\ 1 & {{\alpha ^2}} & {{\alpha ^4}} \\ \end{matrix} } \right]3​1​​111​1αα2​1α2α4​​ then the matrix A31 is equal to
  1. A
    A2
  2. B
    A
  3. C
    I3
  4. D
    A3
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