Let V and W be vector spaces over the same field, and let T: V * W be a linear

Chapter 6, Problem 7

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Let V and W be vector spaces over the same field, and let T: V * W be a linear transformation. For any 77 G #(W), define f (77): VxV- F by f(H)(x,y) = H(T(x),T(y)) for all x,y G V. Prove the following results.

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