Echelon Form of a Matrix: Let us try to understand, what an echelon matrix is. Echelon matrices come in two forms: the **row echelon form** and the **reduced row echelon form**.

**Row Echelon Form**: A matrix is a Row Echelon is it satisfies the following conditions:

- The first non-zero element in each row, called the leading entry, is 1.

- Each leading entry is in a column to the right of the leading entry in the previous row
- All zero rows are at the bottom of the matrix

Both of the matrices shown below are examples of matrices in row echelon form.

**Reduced Echelon Form**: A matrix is known as reduced echelon form when it satisfies following conditions.

- The matrix satisfies conditions for a row echelon form
- The leading entry in each row is the only non-zero entry in its column