Identity matrix

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 <math>I</math> or <math>I_n</math>, and the operation of multiplication is discribed as,

<math>AI=A</math> or <math>IA=A</math>

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

<math>I=\begin{bmatrix}

1 & 0 & \cdots & 0 \\ 0 & 1 & \cdots & 0 \\ \vdots & \vdots & \ddots & \vdots \\ 0 & 0 & \cdots & 1 \end{bmatrix} </math>.