Changes

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,

In mathematics the '''identity matrix''' is the [[matrix]] which, when [[multiplication|multiplying]], does not change the size or values of the matrix by which it is multiplied. The identity matrix is usually denoted <math>I</math> or <math>I_n</math>, and the operation of multiplication is described as,

:<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> with a leading diagonal of ones and all other enteries 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.

:<math>I=\begin{bmatrix}

:<math>I=\begin{bmatrix}

\vdots & \vdots & \ddots & \vdots \\

\vdots & \vdots & \ddots & \vdots \\

0 & 0 & \cdots & 1 \end{bmatrix}

0 & 0 & \cdots & 1 \end{bmatrix}

</math>.

</math>

[[Category:Linear algebra]]

[[Category:Linear algebra]]