# Reduced Row Echelon Form (RREF) Caclulator

The calculator will find the row echelon form (simple or reduced - RREF) of the given (augmented) matrix (with variables if needed), with steps shown.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Find the reduced row echelon form of $$\left[\begin{array}{ccc}1 & 5 & 1\\2 & 11 & 5\end{array}\right]$$$. ## Solution Subtract row $$1$$$ multiplied by $$2$$$from row $$2$$$: $$R_{2} = R_{2} - 2 R_{1}$$$. $$\left[\begin{array}{ccc}1 & 5 & 1\\0 & 1 & 3\end{array}\right]$$$

Subtract row $$2$$$multiplied by $$5$$$ from row $$1$$$: $$R_{1} = R_{1} - 5 R_{2}$$$.