Difference between revisions of "Manuals/calci/ARROWHEAD"
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| − | <div style="font-size:30px">'''MATRIX(" | + | <div style="font-size:30px">'''MATRIX("ARROWHEAD",order)'''</div><br/> |
*<math>order</math> is the order of the arrowhead matrix. | *<math>order</math> is the order of the arrowhead matrix. | ||
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==Examples== | ==Examples== | ||
| − | *MATRIX("arrowhead") | + | *MATRIX("arrowhead") = 1 |
| + | *MATRIX("arrowhead",3) | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
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==References== | ==References== | ||
| + | *[http://en.wikipedia.org/wiki/Arrowhead_matrix Arrowhead] | ||
Latest revision as of 01:21, 26 October 2015
MATRIX("ARROWHEAD",order)
- is the order of the arrowhead matrix.
is the order of the arrowhead matrix.Description
- This function returns the matrix with the type arrowhead.
- In mathematical, a square matrix containing zeros in all entries except for the first row first column and main diagonal.
- i.e., The matrix of the form
A=
- So Calci displays, the elements of the arrowhead matirx are 1 except 1st row and column and main diagonal.
- The matrix has the form Any symmetric permutation of the arrowhead matrix, where P is a permutation matrix is a arrowhead matrix.
- i.e., where P is a permutation matrix is a arrowhead matrix.
- Real symmetric arrowhead matrices are often an essential tool for the computation of the eigenvalues
where P is a permutation matrix is a arrowhead matrix.Examples
- MATRIX("arrowhead") = 1
- MATRIX("arrowhead",3)
| 1 | 1 | 1 |
| 1 | 1 | 0 |
| 1 | 0 | 1 |
- MATRIX("arrowhead",5)
| 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 0 | 0 | 0 |
| 1 | 0 | 1 | 0 | 0 |
| 1 | 0 | 0 | 1 | 0 |
| 1 | 0 | 0 | 0 | 1 |