Question: Prob 5. Suppose that 31, ..., an is a list of vectors in V of length 1 (i.e., 8k = 1 for all k =

Prob 5. Suppose that 31, ..., an is a list of vectors in V of length 1 (i.e., \"8k\" = 1 for all k = 1, . . . ,n) such that llvll2 = Ham)? + -~+ ICU,en)|2 for all t) e v. Prove that 61, . . . , an is an orthonormal basis of V

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