(BH) Recall that a matrix Q is orthogonal if Q' Q = I.
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Chapter2: Second-order Linear Odes
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Transcribed Image Text:5. (BH) Recall that a matrix Q is orthogonal if QTQ = I.
(a) Show that for any vector x, ||Qx||? = ||x||2.
(b) Using your answer to (a), show that |A;(Q)| = 1 for all i.
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