Manuals/calci/HOLLOW
MATRIX("HOLLOW",order)
- is the order of the Hollow matrix.
is the order of the Hollow matrix.Description
- This function shows the matrix of order 3 with the hollow matrix property.
- A hollow matrix may be a square matrix whose diagonal elements are all equal to zero.
- The real skew-symmetric matrix,adjacency matrix of a finite simple graph and a distance matrix or Euclidean matrix are some examples of Hollow matrix.
- In Calci, users can get different type of hollow matrices.
- For example, to get negative decimal places of hollow matrix is MATRIX("hollow:negative") and to get positive decimal places is MATRIX("hollow:positive").
- Also MATRIX("hollow:negzeropos") is used to get a hollow ineteger matrix with the numbers 0,1 and -1.
- MATRIX("hollow:integer") is used to get any integer numbers of Hollow matrix.
Examples
- 1.MATRIX("hollow",4)
| 0 | -20 | -48 | -31 |
| 22 | 0 | 62 | 75 |
| 64 | 6 | 0 | 2 |
| 41 | 6 | -51 | 0 |
- 2.MATRIX("hollow:positive",3)
| 0 | 17.894603312015533 | 43.48729630000889 |
| 57.917751371860504 | 0 | 56.09508000779897 |
| 92.90755833499134 | 14.018815965391695 | 0 |
- 3.MATRIX("hollow:negative",3)
| 0 | -76.5736571745947 | -19.65819902252406 |
| -52.96719539910555 | 0 | -83.0037885112688 |
| -72.52066603396088 | -66.49071478750557 | 0 |
- 4.MATRIX("hollow:negzeropos",5)
| 0 | 0 | 0 | -1 | 1 |
| 1 | 0 | -1 | -1 | 1 |
| 0 | -1 | 0 | 1 | 1 |
| 1 | -1 | 1 | 0 | -1 |
| 0 | 1 | -1 | 0 | 0 |
- 5.MATRIX("hollow:integer",7)
| 0 | 92 | 96 | -46 | 40 | -100 | -86 |
| -92 | 0 | -37 | 64 | -20 | 52 | -5 |
| -74 | 54 | 0 | -70 | 12 | 50 | 7 |
| 32 | 9 | 43 | 0 | -48 | 76 | -76 |
| -26 | 73 | 97 | -34 | 0 | -91 | -91 |
| -90 | 36 | -84 | 70 | -60 | 0 | 86 |
| -42 | 9 | 8 | -75 | -40 | -82 | 0 |