columnRankProfile -- find the column rank profile of a mutable matrix

• Usage:

  columnRankProfile m

• Inputs:
  • m, a mutable matrix, over RR or CC
• Outputs:
  • a list, the lexicographically smallest list of indices of linearly independent columns generating the column space of m

i1 : columnRankProfile transpose mutableMatrix {{1,2,3}, {0,0,0.}, {3,4,5} }

o1 = {0, 2}

o1 : List