Difference between revisions of "Manuals/calci/IM"
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(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 | ||
+ | |} | ||
+ | |||
+ | ==Related Videos== | ||
+ | |||
+ | {{#ev:youtube|v=4lAyqscuTc8|280|center|Types of Matrices}} | ||
+ | |||
+ | |||
+ | ==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 ]] |
Latest revision as of 13:05, 9 April 2019
IM(n)
MATRIXIDENTITY(n)
- is the order of the matrix.
Description
- This function shows the identity matrix of a given matrix.
- In , 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 .
- ,
, ......
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 |
Related Videos
See Also
References