Difference between revisions of "Identity matrix"
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| − | In mathematics the '''identity matrix''' is the which does not change the size or values of | + | 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> | + | 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} | ||
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\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]] | ||
Revision as of 16:30, April 21, 2011
In mathematics the identity matrix is the matrix which, when multiplying, does not change the size or values of the matrix by which it is multiplied. The identity matrix is usually denoted 
or 
, and the operation of multiplication is described as,
or 
The identity matrix is an 
matrix where the leading diagonal is ones and all other entries are zero.
