Row-reduce any matrix to reduced row echelon form and solve the linear system it represents.
Understanding the rref calculation
Gauss-Jordan elimination reduces a matrix until each pivot is 1 and is the only non-zero entry in its column. That form makes the rank, the pivot columns and the solution of a linear system all readable at a glance.
Treating the last column as augmented turns the matrix into a system of equations. The calculator then reports whether the system has one solution, infinitely many, or none at all.
Worked example
As an example, with a matrix of 1 2 -1 3 2 4 1 9 3 6 2 14, treat the last column as of The augmented column of a linear system, the calculator returns a reduced row echelon form of 1 2 0 4 0 0 1 1 0 0 0 0. Underneath, Rank comes out at 2 and Pivot columns at c1, c3. Change any field and every figure updates as you type.
Getting your answer
- Enter one row per line, with entries separated by spaces or commas.
- Say whether the last column is the augmented column.
- Read the RREF, rank and solution.