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Deepak Patra posted an Question
December 04, 2021 • 03:54 am 30 points
  • IIT JAM
  • Mathematics (MA)

Q.no. 12 suppose that m is a 5 x 5 matrix with real entries and p(x) = det(xl - m). then p0) = det(m) every eigenvalue of m is real if p(1) + p(2) = 0 = p(2) +p

Q.No. 12 Suppose that M is a 5 x 5 matrix with real entries and p(x) = det(xl - M). Then P0) = det(M) every eigenvalue of M is real if p(1) + P(2) = 0 = p(2) +p(3) M- is necessarily a polynomial in M of degree 4 if M is invertible M is not invertible if M2 -2M = 0 (A) (B) (C) (D)

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