RREF Calculator
Compute the reduced row echelon form (RREF) of a matrix with Gaussian elimination. Paste or type coefficients row by row and get RREF plus matrix rank.
FAQ for this calculator
- Augmented column?
- Include it as the last column—RREF treats it like any other column unless you interpret separately.
- Fractions?
- Enter decimals; output is rounded to four decimal places.
- REF vs RREF?
- This calculator returns reduced form (pivots are 1 and unique in their column).
- Size limit?
- Up to 8 rows and 8 columns for browser performance.
How to use the RREF calculator
Elementary row operations reduce the matrix to RREF: leading entries are 1, pivots move right, and columns with pivots clear above and below.
- Type each row of the augmented or coefficient matrix.
- Tap Compute RREF.
- Read RREF and rank for solution / dependency analysis.
When to use this calculator
- Checking linear algebra homework.
- Finding rank for consistency of a system.
- Quick verification before an exam.
Examples & walkthrough
- 2×3 identity block → rank 2, RREF shows pivot columns.
- Dependent rows → rank less than row count.