Understand the subject
What is reduced row echelon form?
RREF continues row reduction until every pivot is one and alone in its column.
Use it for a canonical solution representation and to read free variables clearly.
See the structure
What the calculation is doing
[ 1 1 | 3 ]R₂ − 2R₁[ 2 1 | 4 ]→pivots reveal the solution
Worked interpretation
Read the result in context
[A|b] → RREF
Interpret with care
Important boundary
RREF is unique, although the row operations used to reach it need not be.
Use the Matrix Calculator to experiment with small exact matrix operations before applying a more specialized route.
Quick guide
How to use this calculator
- Set the matrix dimensions required by the task.
- Fill every visible entry and any operation-specific control.
- Read the result type, factors, classification, and disclosed limitations.
Calculation method
Apply the stated linear-algebra contract
Each pivot is 1 and is the only nonzero entry in its column.
Undefined, singular, dimensionally incompatible, dependent, or unsupported inputs receive an explicit message instead of a fabricated numeric result.
Worked example
Example interpretation
RREF is unique even when different valid row-operation sequences are used.
Each pivot is 1 and is the only nonzero entry in its column.
Supported inputs
Precision and limits
Matrix size
Input matrices are limited to 1–6 rows and columns; operation-specific square, rank, or compatibility rules still apply.
Entry precision
Enter signed finite decimals with at most 30 digits and 15 decimal places.
Exactness
Finite decimals become reduced rational numbers and intermediate structural calculations are not rounded.
