Echelon Form of a matrix

Echelon form #

• Row of all zeroes are below any other row
• Each leading non zero entry in a row is in a column right of leading entry in the row above it
• Entries in a column below a leading entry are zeroes

Row-reduced echelon form #

They satisfy properties from Echelon form and in addition:

• For each column containing the leading 1 of some row, that leading 1 is the only non-zero element in that column.