5 1. Let A= (32) and B ( 2 5 8 2 5 = (a) Find an orthogonal matrix Q and a diagonal matrix D such that QT AQ = D. (b) Ho
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5 1. Let A= (32) and B ( 2 5 8 2 5 = (a) Find an orthogonal matrix Q and a diagonal matrix D such that QT AQ = D. (b) Ho
5 1. Let A= (32) and B ( 2 5 8 2 5 = (a) Find an orthogonal matrix Q and a diagonal matrix D such that QT AQ = D. (b) How do you know that there is no orthogonal matrix Q such that Q7 BQ is diagonal? (This needs no calculation.)
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