Question: Let A be an n x n matrix and let Q and V be n n orthogonal matrices. Show that (a) ||QA||2 = ||A||2

Let A be an n x n matrix and let Q and V be n × n orthogonal matrices. Show that
(a) ||QA||2 = ||A||2
(b) ||AV||2 = ||A||2
(c) ||QAV||2 = ||A||2

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