Thread: Bilinear Forms and Linear Transformations

Hi there,

Let f : V X V -> F be a bilinear form, and the matrix that represents f in base B is invertible.
I need to prove that for any linear transformation T : V -> F, there is a vector v0 in V, so that T(u) = f(u, v0) for any u in V.

Thanks in advance!

Hi,
Write this in terms of matrix, and the answer will be obvious