Let be an orthonormal set in n , and let x be a vector in n . (a) Prove that (This
Chapter 5, Problem 5.2.30(choose chapter or problem)
Let be an orthonormal set in n , and let x be a vector in n . (a) Prove that (This inequality is called Bessels Inequality.) (b) Prove that Bessels Inequality is an equality if and only if x is in span(S). 7 x7 2 x # v1 2 x # v2 2 p x # vk 2 S
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