RREF

#Math

Requirements

  1. The first nonzero entry must be a 1 in a nonzero row, called the leading 1/pivot
  2. If a column as a pivot, all other entries in the column must be 0
  3. All rows with pivots must contain a pivot above and to the left
  • E.g.:
    $$
    \begin{bmatrix}
    0 & 1 & 0 & 3 & 5 \\ 0 & 0 & 1 & 3 & 1 \\ 0 & 0 & 0 & 0 & 0
    \end{bmatrix}
    $$