Identity matrix

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In mathematics the identity matrix is the which does not change the size or values of a matrix under the operation of multiplication. The usually identity matrix is denoted I or In, and the operation of multiplication is discribed as,

AI = A or IA = A

The identity matrix is an n\times n with a leading diagonal of ones and all other enteries are zero,

I=\begin{bmatrix} 1 & 0 & \cdots & 0 \\ 0 & 1 & \cdots & 0 \\ \vdots & \vdots & \ddots & \vdots \\ 0 & 0 & \cdots & 1 \end{bmatrix} .
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