Row Echelon Form Calculator
Easily transform any matrix into its row echelon form using this interactive calculator. Just input your matrix and get the result instantly!
Separate numbers in each row by spaces or commas, and rows by new lines.
Row Echelon Form:
Calculation Steps:
What is Row Echelon Form?
In linear algebra, the row echelon form is a simplified version of a matrix obtained through Gaussian elimination. A matrix is in row echelon form if:
- All non-zero rows are above any rows of all zeros.
- The leading entry (the first non-zero number from the left, also called the pivot) of a non-zero row is always strictly to the right of the leading entry of the row above it.
- All entries in a column below a leading entry are zeros.
The row echelon form is used to solve systems of linear equations, find the rank of a matrix, and calculate determinants. This calculator helps you quickly find the row echelon form of any matrix, making it easier to solve related problems.
Learn more about Row Echelon Form on Wikipedia.