\begin{definition}[Definition:Determinant/Matrix/In Full]
Let $\mathbf A = \sqbrk a_n$ be a square matrix of order $n$.
When written out in full, the determinant of $\mathbf A$ is denoted:
:$\map \det {\mathbf A} = \begin {vmatrix}
a_{1 1} & a_{1 2} & \cdots & a_{1 n} \\
a_{2 1} & a_{2 2} & \cdots & a_{2 n} \\
 \vdots &  \vdots & \ddots &  \vdots \\
a_{n 1} & a_{n 2} & \cdots & a_{n n} \\
\end {vmatrix}$
Category:Definitions/Determinants
\end{definition}