Hi,

I've some troubles finding a matrix of a bilinear form:

Given n >= 1, n in IN and beta : M_{n}(\mathbf{R}) X M_{n}(\mathbf{R}) ----> IR the application defined by beta( A,B)=Tr({t}^A,B) \forall A,B \in M_{n}(\mathbf{R}

(IN= positive integers, IR= real numbers).

Find the matrix of beta in the standar basis of M_{n}(\mathbf{R} .

So I'm stuck here because I don't see what kind of n by n matrix would give me

A*(matrix)*B=\beta (A,B).

I am really sorry the Latex compiler doesn't seem to work .