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GATE EE 2016 Set 2 — Question 17

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MCQ+1 / -0.33EasyEigenvalues & EigenvectorsLinear AlgebraEngineering Mathematics

Engineering Mathematics → Linear Algebra → Eigenvalues & Eigenvectors

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Question

A 3×33 \times 3 matrix PP is such that, P3=PP^3 = P. Then the eigenvalues of PP are
  1. A.
    1, 1, -1
  2. B.
    1, 0.5 + j0.866, 0.5 - j0.866
  3. C.
    1, -0.5 + j0.866, -0.5 - j0.866
  4. D.
    0, 1, -1

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