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Deepak Patra posted an Question
January 01, 2022 • 21:33 pm 30 points
  • IIT JAM
  • Mathematics (MA)

34. if x and y are n xn matrices with real entries, then which of the following is/are true? (a) if pr xp is diagonal for some real invertible matrix p then the

34. If X and Y are n xn matrices with real entries, then which of the following is/are TRUE? (a) If Pr XP is diagonal for some real invertible matrix P then there exists a basis for R" consisting of eigenvectors of X (b) If X is diagonal with distinct diagonal entries and XY= YX, then Y is also diagonal (c) If X is diagonal, then X is diagonal (d) If X is diagonal and XY = YX for all Y, then X = N for some A e R

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