Question: 3. Let A, B E MnxnR) be two orthogonal matrices. (a) Prove that AB is an orthogonal matrix. (b) Show that A + B may

3. Let A, B E MnxnR) be two orthogonal matrices. (a) Prove that AB is an orthogonal matrix. (b) Show that A + B may not be an orthogonal matrix. [)an Bmxm (C) Now suppose that B E mem(R). Prove that [ARM 0"me is an orthogonal matrix

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