Question: Let Q be an n n orthogonal matrix. Use mathematical induction to prove each of the following. (a) (Qm)-l = (QT)m = (Qm)T for

Let Q be an n × n orthogonal matrix. Use mathematical induction to prove each of the following.
(a) (Qm)-l = (QT)m = (Qm)T for any positive integer m.
(b) ||Qmx|| = ||x|| for any x ∈ Rm.

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