Radical of a bilinear form
= Radical of a bilinear form
The radical of a symmetric bilinear form $B$ is
$$
\operatorname{rad}B=\{v:B(v,w)=0\text{ for every }w\}.
$$
The form is nondegenerate exactly when its radical is zero.
= Radical of a bilinear form
The radical of a symmetric bilinear form $B$ is
$$
\operatorname{rad}B=\{v:B(v,w)=0\text{ for every }w\}.
$$
The form is nondegenerate exactly when its radical is zero.