permutationMatrix(List) -- a permutation matrix generator

• Function: permutationMatrix

• Usage:

  permutationMatrix (permutation)

• Inputs:
  • permutation, a list, a list of numbers from 0..n-1 that represents a permutation
• Outputs:
  • a matrix, the matrix that represents the given permutation

i1 : permutationMatrix {0,1,2}

o1 = | 1 0 0 |
     | 0 1 0 |
     | 0 0 1 |

              3       3
o1 : Matrix QQ  <-- QQ

i2 : permutationMatrix {1,0,2}

o2 = | 0 1 0 |
     | 1 0 0 |
     | 0 0 1 |

              3       3
o2 : Matrix QQ  <-- QQ

i3 : permutationMatrix {1,2,0}

o3 = | 0 1 0 |
     | 0 0 1 |
     | 1 0 0 |

              3       3
o3 : Matrix QQ  <-- QQ