Suppose that A is a square matrix and that ∥Au∥ = 1 for all unit vectors u. Show that A is orthogonal.

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Q: the matrIX A into a product QDQ" where Q is orthogonal and D is diagonal.

A: Given,          A=-5-1-1-1-3-1-1-1-3

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Q: Show that if A is an orthogonal matrix, then AT is also orthogonal.

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