Question: 1. Suppose SE L(V) is an injective operator on V. Define (, )1 by (u, v)1 = (Su, Sv) for u, v V. Show

1. Suppose SE L(V) is an injective operator on V. Define (,

1. Suppose SE L(V) is an injective operator on V. Define (, )1 by (u, v)1 = (Su, Sv) for u, v V. Show that is an inner product on V.

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