# Manuals/calci/HOLLOW

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

• 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 17.8946 43.4873 57.9178 0 56.0951 92.9076 14.0188 0
• 3.MATRIX("hollow:negative",3)
 0 -76.5737 -19.6582 -52.9672 0 -83.0038 -72.5207 -66.4907 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