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Deepak Patra posted an Question
December 09, 2021 • 23:17 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Q.3 consider the following statements p and q: (p): if m is an n x n complex matrix, then r(m) = (n(m*))+. (: there exists a unitary matrix with an eigenvalue a

Q.3 Consider the following statements P and Q: (P): If M is an n x n complex matrix, then R(M) = (N(M*))+. (: There exists a unitary matrix with an eigenvalue A such that |A| <1. Which of the above statements hold TRUE? (A) both Pand Q (B) only P C) only Q (D) Neither P nor Q

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  • Anonymous User best-answer

    P true check attachment Q false since all eigenvalues of a unitary matrix have unit modulus .

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