Echelon Form
A matrix is in row echelon form (or just “row echelon” form) iff:
- All rows having only zero entries are at the bottom.
- For all row that does not contain entirely zeros, the first non-zero entry is 1.
- For 2 successive non-zero rows, the leading 1 in the higher row is further left than the leading 1 in the lower row.
The process of reducing the augmented matrix to row Echelon form is known as Gaussian elimination.
Column echelon form
A matrix