marinadawson3012 marinadawson3012
  • 24-05-2023
  • Mathematics
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Let A be a 3 x 3 matrix given by 1 -1 A = 1 0 1 4 -4 5. (i) Determine whether A is diagonalizable. If it is, find an invertible matrix P and a diagonal matrix D such that A = PDP-1. If it is not, give a reason why. (ii) Let B be a 3 x 3 matrix given by 1 1 1 B B 0 1 1 0 0 1 Does there exist an invertible matrix Q such that B = Q-1 AQ? Justify your answer.

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