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Deepak Patra posted an Question
January 15, 2022 • 04:41 am 30 points
  • IIT JAM
  • Mathematics (MA)

Q.51- consider the matrix a = ig -2uu with u = ž[1,1,1,1, 1, 1, 1, 1,1]. where lo is the 9 x 9 identity matrix and u' is the transpose of u. ifa and js are two

Q.51- Consider the matrix A = Ig -2uu with u = ž[1,1,1,1, 1, 1, 1, 1,1]. where lo is the 9 x 9 identity matrix and u' is the transpose of u. IfA and js are two distinct eigenvalues of A, then A- el=

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    Piyush pachauri best-answer

    Eigen values of U^TU are 0 with algebraic multiplicity 8 and 1 . So distinct Eigen values of I -2U^TU are 1 and -1. Answer is 2.

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