Definition:Determinant/Matrix/In Full

Definition
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}$