Manuals/calci/HOLLOW

MATRIX("HOLLOW",order)

• $order$ 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

• 1.MATRIX("hollow",4)

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

• 5.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