Manuals/calci/MONOMIAL

MATRIX("MONOMIAL",order)


  • is the order of the Monomial matrix.

Description

  • This function gives the matrix of order 3 with the property of monomial matrix.
  • A monomial matrix is a square matrix with exactly one nonzero entry in each row and exactly one nonzero entry in each column.
  • So here MATRIX("monomial") is showing the monomial matrix of order 3.
  • Monomial matrix is also called as generalized permutation matrix.
  • So in Calci, users can give the argument as MATRIX("Monomial") or MATRIX(" generalized permutation").
  • An example of monomial or generalized permutation matrix is:

 

  • So any monomial matrix is the product of a permutation matrix and a diagonal matrix.

Examples

  • 1.MATRIX("Monomial")=1
  • 2.MATRIX("Monomial",3)
0 0 3
2 0 0
0 1 0
  • 3.MATRIX("Generalized permutation",3)
0 3 0
3 0 0
0 0 2
  • 4.MATRIX("generalized permutation",5,-10..-2)
0 0 0 -10 0
0 -9 0 0 0
0 0 -8 0 0
0 0 0 0 -7
-6 0 0 0 0

See Also

References