 Representation of a bilinear form relative to a nondegenerate bilinear form (source code)

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= Representation of a bilinear form relative to a nondegenerate bilinear form

If $B_1$ is a <nondegenerate bilinear form> on a finite-dimensional vector space and $B_2$ is any bilinear form, there is a unique <linear map> $\alpha$ such that
$$
B_2(v,w)=B_1(v,\alpha w).
$$
The right radical of $B_2$ is $\ker\alpha$.

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