Exact rational linear algebra
RREF Calculator
Reduce matrices to row-reduced echelon form with exact arithmetic and readable elimination steps.
Matrix A
3 x 3
Matrix B
3 x 3
Basic
Square Matrix
Row Reduction
How it works
- The calculator searches for pivots column by column.
- It scales pivots to 1 and clears entries above and below them.
- Rectangular matrices are fully supported.
Common mistakes
- Expecting floating-point approximations instead of exact fractions.
- Misreading a zero column as an error instead of a skipped pivot column.
- Entering malformed fractions.
FAQ
Can RREF handle non-square matrices?
Yes. Rectangular matrices are supported.
Do empty cells count as zero?
Yes. Blank cells are interpreted as zero when you calculate.