A **square matrix** is a [[matrix]] which has the same number of rows and columns.
The matrix $A\in F^{n\times n}$ is *square*
$
\left(\begin{array}{rrr}1 & 6 & 2 \\ -9 & 0 & 3 \\ 2 & 4 & 8\end{array}\right)
$
There are lots of special square matrices:
[[symmetric matrix]]
[[diagonal matrix]]
[[identity matrix]]