Let V be a vector space over /'. where F = R or F - ('. and let W be an inner product
Chapter 6, Problem 18(choose chapter or problem)
Let V be a vector space over /'. where F = R or F - ('. and let W be an inner product space ewer F with inner product (. ). If T: V > W is linear, prove that (x.y) (T(x).T(y)) defines an inner product on V if and only if T is one-to-one.
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