Let A and B be n 3 n matrices. The matrix B is said to be similar to the matrix A if

Chapter 8, Problem 30

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Let A and B be \(n\ \times\ n\) matrices. The matrix B is said to be similar to the matrix A if there exists a nonsingular matrix S such that \(B=S^{-1}AS\). If B is similar to A, then show that A is similar to B.

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