Let A be a nonsingular n n matrix and let Q be an n n orthogonal matrix. Show that (a)

Chapter 7, Problem 46

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Let A be a nonsingular n n matrix and let Q be an n n orthogonal matrix. Show that (a) cond2(QA) = cond2(AQ) = cond2(A) (b) if B = QTAQ, then cond2(B) = cond2(A). 4

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