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
 +
|}
 +
 +
==See Also==
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*[[Manuals/calci/MATRIXIDENTITY| MATRIXIDENTITY]]
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*[[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

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

See Also

References