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:<math>
T_{i,j} = \begin{bmatrix} 1 & & & & & & & \\ & \ddots & & & & & & \\ & & 0 & & 1 & & \\ & & & \ddots & & & & \\ & & 1 & & 0 & & \\ & & & & & & \ddots & \\ & & & & & & & 1\end{bmatrix},\quad </math>
:That is, ''T<sub>ij</sub>'' is the matrix produced by exchanging row ''i'' and row ''j'' of the identity matrix.
====Properties====
:*The inverse of this matrix is itself: ''T<sub>ij</sub><sup>-1</sup>=T<sub>ij</sub>''.
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