(a) Prove that if U is invertible, then rank(UA) rank(A). [Hint: A U1 (UA).] (b) Prove
Chapter 3, Problem 3.5.61(choose chapter or problem)
(a) Prove that if U is invertible, then rank(UA) rank(A). [Hint: A U1 (UA).] (b) Prove that if V is invertible, then rank(AV) rank(A).
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