\begin{definition}[Definition:Relative Matrix of Quadratic Form]
Let $K$ be a field of characteristic $\Char K \ne 2$.
Let $V$ be a vector space over $K$ of finite dimension $n > 0$.
Let $\BB$ be an ordered basis of $V$.
Let $q$ be a quadratic form on $V$.
Its '''matrix  relative to $\BB$''' is the matrix of its associated bilinear form relative to $\BB$, denoted $\mathbf M_{q, \BB}$.
Category:Definitions/Quadratic Forms
\end{definition}