Consider the vector space Rn, and let v = (v1,v2,...,vn) and w = (w1,w2,...,wn) be
Chapter 5, Problem 28(choose chapter or problem)
Consider the vector space Rn, and let v = (v1,v2,...,vn) and w = (w1,w2,...,wn) be vectors in Rn. Complete the proof begun in Example 5.1.6 that the mapping , defined by v, w = k1v1w1 + k2v2w2 ++ knvnwn is a valid inner product on Rn if and only if the constants k1, k2,..., kn are all positive
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