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QUESTION
(c) If two square matrices A and B are similar, so are I A+A2 and I B + 32. (d) If two square matrices are similar, they must have the same...
Which of the following statements are true and which are false? Justify your answer: if it is true, prove it; if it is false, give a counter-example.
(c) If two square matrices A and B are similar, so are I —A+A2and I — B + 32. (d) If two square matrices are similar, they must have the sameeigenvalues and eigenspaces.