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<div style="font-size:30px">'''MONOMIAL'''</div><br/>
<div style="font-size:30px">'''MATRIX("MONOMIAL",order)'''</div><br/>
*<math>order</math> is the order of the Monomial matrix.
==Description==
*This function gives the matrix of order 3 with the property of monomial matrix.
*A monomial matrix is a square matrix with exactly one nonzero entry in each row and exactly one nonzero entry in each column.
*So here MATRIX("monomial") is showing the monomial matrix of order 3.
*Also monomial matrix is also called as generalized permutation matrix.
*So in Calci, users can give the argument as MATRIX("Monomial") or MATRIX(" generalized permutation").
*An example of monomial or generalized permutation matrix is:
<math>\begin{bmatrix}
0 & 0 & 3 & 0 \\
0 & -2 & 0 & 0 \\
4 & 0 & 0 & 0 \\
0 & 0 & 0 & 1 \\
\end{bmatrix}</math>
*So any monomial matrix is the product of a permutation matrix and a diagonal matrix.
==Examples==
*1.MATRIX("Monomial")
{| class="wikitable"
|-
| 0 || 0 || 3
|-
| 2 || 0 || 0
|-
| 0 || 1 || 0
|}
*2.MATRIX("Generalized permutation")
{| class="wikitable"
|-
| 0 || 3 || 0
|-
| 3 || 0 || 0
|-
| 0 || 0 || 2
|}
3.MATRIX("generalized permutation",5,-10..-2)
{| class="wikitable"
|-
| 0 || 0 || 0 || -10 || 0
|-
| 0 || -9 || 0 || 0 || 0
|-
| 0 || 0 || -8 || 0 || 0
|-
| 0 || 0 || 0 || 0 || -7
|-
| -6 || 0 || 0 || 0 || 0
|}
==See Also==
*[[Manuals/calci/HADAMARD| HADAMARD]]
*[[Manuals/calci/EXCHANGE| EXCHANGE]]
*[[Manuals/calci/IDENTITY| IDENTITY]]
*[[Manuals/calci/HANKEL| HANKEL]]
==References==