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another way of expressing it that may be clearer to some people
:<math>AI=A</math> or <math>IA=A</math>
:<math>AI=A</math> or <math>IA=A</math>
The identity matrix is an <math>n\times n</math> matrix where the leading diagonal is ones and all other entries are zero.
The identity matrix is an <math>n\times n</math> matrix where the leading diagonal is ones and all other entries are zero. That is, <math>a_{ii} = 1</math>, and <math>a_{ij} = 0</math> whenever <math>i \neq j</math>.
:<math>I=\begin{bmatrix}
:<math>I=\begin{bmatrix}