Definition:Permanent/Examples

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Examples of Permanent

Matrix whose Entries are Product of Row and Column Indices

The square matrix of the form:

$\begin{pmatrix} 1 \times 1 & 1 \times 2 & \cdots & 1 \times m \\ 2 \times 1 & 2 \times 2 & \cdots & 2 \times m \\ \vdots & \vdots & \ddots & \vdots \\ m \times 1 & m \times 2 & \cdots & m \times m \end{pmatrix}$

has a permanent of $\left({n!}\right)^3$.