Let K {\displaystyle {}K} be a field, let V {\displaystyle {}V} be a K {\displaystyle {}K} -vector space, and let ⟨ − , − ⟩ {\displaystyle {}\left\langle -,-\right\rangle } denote a bilinear form on V {\displaystyle {}V} . The bilinear form is called symmetric, if
holds for all v , w ∈ V {\displaystyle {}v,w\in V} .
be a
field,
let 
be a
-vector space,
and let 
denote a
bilinear form
on . The bilinear form is called symmetric, if
.
