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Deepak Patra posted an Question
May 29, 2021 • 19:20 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Q.38 let m be an n xn matrix with real entries such that m3 = i. suppose that mv # v for any non- zero vector v. then which of the following statements is / are

Q.38 Let M be an n xn matrix with real entries such that M3 = I. Suppose that Mv # v for any non- zero vector v. Then which of the following statements is / are TRUE? (A) M has real cigenvalues (B) M+ M-l has real eigenvalues (C) n is divisible by 2 (D) n is divisible by 3

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