Let A = [: ~ l (a) Suppose ad - be # 0. and 8 ---I [ d -

Chapter , Problem 54

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Let A = [: ~ l (a) Suppose ad - be # 0. and 8 ---I [ d - ad- be -c Show that A8 = 8A = /, and hence A and B =A-1. - is invertible (b) Prove the converse of (a): If A is invertible, then tul- be# 0

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