CSIR NET
Pooja Asked a Question
June 21, 2021 6:32 pmpts 30 pts
  • CSIR NET
  • Mathematical Sciences

Let a be a 4 x 4 matrix over c such that rank (a) = 2 and as = a2 # 0. suppose that a is not diagonalizable. then (0 1 one of the jordan blocks of the jordan ca

Let A be a 4 x 4 matrix over C such that rank (A) = 2 and AS = A2 # 0. Suppose that A is not diagonalizable. Then (0 1 One of the Jordan blocks of the Jordan canonical form of A is A 0 0 A = A 0 (C) (B) There exist a vector v such that Av # 0 but AV = 0 (D The characteristic polynomial of A is x - x
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  • Alka gupta thankyou
    if A is not diaganalsiable means it have repeated Eigen valus and also given Rank(A) =2 of 4x4 matrix means matrix is not invertible .... so options A,C,D are correct
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