Difference between revisions of "Manuals/calci/IDENTITY"
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| − | <div style="font-size:30px">'''IDENTITY'''</div><br/> | + | <div style="font-size:30px">'''MATRIX("IDENTITY",order)'''</div><br/> |
| + | *<math>order</math> is the order of the Identity matrix. | ||
| + | |||
| + | ==Description== | ||
| + | *This function gives the identity matrix of order 3. | ||
| + | *The matrix is called identity matrix if a square matrix which has a 1 for each element on the main diagonal and 0 for all other elements. | ||
| + | *Identity matrix is denoted by I_n or simply by I. | ||
| + | *Identity matrix is also called as Unit matrix. | ||
| + | *The identity matrix is the identity for matrix multiplication. | ||
| + | *The form of identity matrices are:<math> I_1=\begin{bmatrix} | ||
| + | 1 \\ | ||
| + | \end{bmatrix}</math> | ||
| + | <math>I_2=\begin{bmatrix} | ||
| + | 1 & 0 \\ | ||
| + | 0 & 1 \\ | ||
| + | \end{bmatrix}</math> | ||
| + | <math>I_3=\begin{bmatrix} | ||
| + | 1 & 0 & 0 \\ | ||
| + | 0 & 1 & 0\\ | ||
| + | 0 & 0 & 1 | ||
| + | \end{bmatrix}</math> | ||
| + | ....... | ||
| + | <math>I_n=\begin{bmatrix} | ||
| + | 1 & 0 & 0 & \cdots & 0 \\ | ||
| + | 0 & 1 & 0 & \cdots & 0 \\ | ||
| + | 0 & 0 & 1 & \cdots & 0 \\ | ||
| + | \vdots & \ddots & \vdots \\ | ||
| + | 0 & 0 & 0 & \cdots & 1 | ||
| + | \end{bmatrix}</math> | ||
Revision as of 10:06, 27 April 2015
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle order} is the order of the Identity matrix.
Description
- This function gives the identity matrix of order 3.
- The matrix is called identity matrix if a square matrix which has a 1 for each element on the main diagonal and 0 for all other elements.
- Identity matrix is denoted by I_n or simply by I.
- Identity matrix is also called as Unit matrix.
- The identity matrix is the identity for matrix multiplication.
- The form of identity matrices are:Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle I_1=\begin{bmatrix} 1 \\ \end{bmatrix}}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle I_2=\begin{bmatrix} 1 & 0 \\ 0 & 1 \\ \end{bmatrix}} Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle I_3=\begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0\\ 0 & 0 & 1 \end{bmatrix}} ....... Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle I_n=\begin{bmatrix} 1 & 0 & 0 & \cdots & 0 \\ 0 & 1 & 0 & \cdots & 0 \\ 0 & 0 & 1 & \cdots & 0 \\ \vdots & \ddots & \vdots \\ 0 & 0 & 0 & \cdots & 1 \end{bmatrix}}