Recent content by Kastchei

  1. K

    Space spanned by all 5x5 permutation matrices

    Ah! Much simpler. Thanks!
  2. K

    Space spanned by all 5x5 permutation matrices

    Homework Statement "How many 5x5 permutation matrices are there? Are they linearly independent? Do they span the space of all 5x5 matrices?"Homework EquationsThe Attempt at a Solution The first two questions are fairly easy. 5! = 120 P matrices. Since dim(space of all 5x5 matrices) = 25...