Suppose h; i1 and h; i2 are inner products on V such that hv;wi1 D 0if and only if

Chapter 6, Problem 11

(choose chapter or problem)

Suppose h; i1 and h; i2 are inner products on V such that hv;wi1 D 0if and only if hv;wi2 D 0. Prove that there is a positive number c suchthat hv;wi1 D chv;wi2 for every v;w 2 V.

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