Sahin Sk posted an Question
February 08, 2022 • 11:53 am 30 points
  • IIT JAM
  • Mathematics (MA)

Let a = [aijl3x3, aij e r such that a-l exists. let s'a = set of eigenvalues of a and sa-1 = set of eigenvalues of a-1. if sa = sa-1, then (a) 1 is eigenvalue o

Let A = [aijl3x3, aij E R such that A-l exists. Let S'A = set of Eigenvalues of A and SA-1 = set of Eigenvalues of A-1. If SA = SA-1, then (A) 1 is Eigenvalue of A (B) -1 is Eigenvalue of A (C) det(A) =1 (D) At least one of 1 or -1 is an Eigenvalue of A

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  • Anonymous User best-answer

    if λ is an eigen value of A then 1/λ is an eigen value of A^-1 since SA=SA^-1 so λ=1/λ λ²=1 λ=±1 D

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