Difference between revisions of "Identity matrix"
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(New page: 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</...) |
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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 <math>I</math> or <math>I_n</math>, and the operation of multiplication is discribed as, | + | 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> | :<math>AI=A</math> or <math>IA=A</math> | ||
Revision as of 01:24, June 8, 2008
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>.