Difference between revisions of "Manuals/calci/IM"
(Created page with "<div style="font-size:30px">'''IM(n)'''</div><br/> <div style="font-size:30px">'''MATRIXIDENTITY(n)'''</div><br/> *<math>n</math> is the order of the matrix. ==Description== ...") |
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0 & 0 &0 & \cdots & 1 | 0 & 0 &0 & \cdots & 1 | ||
\end{bmatrix}</math> | \end{bmatrix}</math> | ||
| + | |||
| + | ==Examples== | ||
| + | 1.IM(3) | ||
| + | {| class="wikitable" | ||
| + | |- | ||
| + | | 1 || 0 ||0 | ||
| + | |- | ||
| + | | 0 || 1 || 0 | ||
| + | |- | ||
| + | | 0 || 0 ||1 | ||
| + | |} | ||
| + | 2. IM(5) | ||
| + | {| class="wikitable" | ||
| + | |- | ||
| + | | 1 || 0 || 0 || 0 || 0 | ||
| + | |- | ||
| + | | 0 || 1 || 0 || 0 ||0 | ||
| + | |- | ||
| + | | 0 || 0 || 1|| 0 || 0 | ||
| + | |- | ||
| + | | 0 || 0 || 0 || 1 || 0 | ||
| + | |- | ||
| + | | 0 || 0 || 0 || 0 ||1 | ||
| + | |} | ||
| + | |||
| + | ==See Also== | ||
| + | *[[Manuals/calci/MATRIXIDENTITY| MATRIXIDENTITY]] | ||
| + | *[[Manuals/calci/MATRIXOPERATORS| MATRIXOPERATORS]] | ||
| + | |||
| + | ==References== | ||
| + | *[https://en.wikipedia.org/wiki/Identity_matrix Identity] | ||
| + | |||
| + | |||
| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | *[[ Z3 | Z3 home ]] | ||
Revision as of 13:23, 7 June 2017
- 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 n} is the order of the matrix.
Description
- This function shows the identity matrix of a given matrix.
- In 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 IM(n)} ,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 n} is the Order of identity matrix.
- Identity matrix is also called Unit matrix.
- Identity matrix of size n is the nxn square matrix with ones on the main diagonal and zeros on the other entries.
- Identity matrix is denoted by 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} .
- 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=[1]} ,
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}}
Examples
1.IM(3)
| 1 | 0 | 0 |
| 0 | 1 | 0 |
| 0 | 0 | 1 |
2. IM(5)
| 1 | 0 | 0 | 0 | 0 |
| 0 | 1 | 0 | 0 | 0 |
| 0 | 0 | 1 | 0 | 0 |
| 0 | 0 | 0 | 1 | 0 |
| 0 | 0 | 0 | 0 | 1 |
See Also
References