Let A and B be similar nxn matrices. Prove that there exists an ndimensional vector

Chapter 5, Problem 19

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Let A and B be similar nxn matrices. Prove that there exists an ndimensional vector space V, a linear operator T on V, and ordered bases 0 and 7 for V such that A = [T]/3 and B = [T]7. Hint: Use Exercise 14 of Section 2.5.

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