pivots(Matrix) -- list of pivot locations of a matrix

Synopsis

• Function: pivots

• Usage:

  pivots f

• Inputs:
  • f, a matrix
• Outputs:
  • a list, of positions (r,c) which are the positions of the non-zero lead terms (in each column)

Description

i1 : f = matrix{{1,3,0,0,3,5,2,0,0},{0,0,0,1,3,6,7,8,0}}

o1 = | 1 3 0 0 3 5 2 0 0 |
     | 0 0 0 1 3 6 7 8 0 |

              2       9
o1 : Matrix ZZ  <-- ZZ

i2 : pivots f

o2 = {(0, 0), (0, 1), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7)}

o2 : List

This function is used in the current implementation of the Smith normal form.

Caveat

See also

• smithNormalForm -- smith normal form for a matrix over ZZ or a PID