Consider the vector space R2. Define the mapping , by v, w = 2v1w1 + v1w2 + v2w1 + 2v2w2

Chapter 5, Problem 18

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Consider the vector space R2. Define the mapping , by v, w = 2v1w1 + v1w2 + v2w1 + 2v2w2 (5.1.14) for all vectors v = (v1,v2) and w = (w1,w2) in R2. Verify that Equation (5.1.14) defines an inner product on R2.

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