Solved: Let A be a nondefective matrix and let S be a matrix such that S1AS =
Chapter 7, Problem 32(choose chapter or problem)
Let A be a nondefective matrix and let S be a matrix such that S1AS = diag(1,2,...,n), where all i are nonzero. (a) Prove that A is invertible. (b) Prove that S1A1 S = diag 1 1 , 1 2 ,..., 1 n .
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