Solved: Let Q be an n n orthogonal matrix. Use mathematical induction to prove each of

Chapter 5, Problem 13

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Let Q be an n n orthogonal matrix. Use mathematical induction to prove each of the following. (a) (Qm) 1 = (QT ) m = (Qm) T for any positive integer m. (b) Qmx=x for any x Rn. 14

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