MATRIX("HOLLOW",order)
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
| 0 |
-20 |
-48 |
-31
|
| 22 |
0 |
62 |
75
|
| 64 |
6 |
0 |
2
|
| 41 |
6 |
-51 |
0
|
- 2.MATRIX("hollow:positive"
| 0 |
17.894603312015533 |
43.48729630000889
|
| 57.917751371860504 |
0 |
56.09508000779897
|
| 92.90755833499134 |
14.018815965391695 |
0
|
- 3.MATRIX("hollow:negative")
| 0 |
-76.5736571745947 |
-19.65819902252406
|
- 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
|
$>MATRIX("hollow:integer",7)
| 0 |
92 |
96 |
-46 |
40 |
-100 |
-86
|
| 32 |
9 |
43 |
0 |
-48 |
76 |
-76
|
| -90 |
36 |
-84 |
70 |
-60 |
0 |
86
|
| -42 |
9 |
8 |
-75 |
-40 |
-82 |
0
|