Prove the equivalence of statements (a) and (c) in Theorem 6.6.1. Theorem 6.6.1 (a) A is orthogonal.

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Prove the equivalence of statements (a) and (c) in Theorem 6.6.1.
Theorem 6.6.1
(a) A is orthogonal. (c) The column vectors of A form an orthonormal set in Rn with the Euclidean inner product.
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