- #1
Mr Davis 97
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Homework Statement
Let A and B be square matrices. Suppose that A is invertible and A = BAB. Show that B is invertible.
Homework Equations
The Attempt at a Solution
First, since BAB = A, and A is invertible, this means that B(ABA-1) = I. However, to show that B is invertible, I also need to show that (ABA-1)B = I, but I don't see how to do this...