A rectangular Matrix is in RREF if

  1. If there are any, all zero rows are at the bottom
  2. The first non-zero entry (leading entry) of a row is to the right of any leading entries in the row above it
  3. All elements below a leading entry are zero
  4. All leading entries, if any, are equal to 1.
  5. Leading entries are the only nonzero entry in their respective column.