Gauss-Jordan elimination on $$$\left[\begin{array}{cc|c}1 & 1 & 1\\-1 & 3 & 2\end{array}\right]$$$

The calculator will perform the Gaussian elimination on the $$$2$$$x$$$3$$$ matrix $$$\left[\begin{array}{cc|c}1 & 1 & 1\\-1 & 3 & 2\end{array}\right]$$$, with steps shown.

Related calculators: Reduced Row Echelon Form (RREF) Calculator, Matrix Inverse Calculator

$$$\times$$$

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.

Your Input

Perform the Gauss-Jordan elimination on $$$\left[\begin{array}{cc|c}1 & 1 & 1\\-1 & 3 & 2\end{array}\right]$$$.

Solution

Add row $$$1$$$ to row $$$2$$$: $$$R_{2} = R_{2} + R_{1}$$$.

$$$\left[\begin{array}{cc|c}1 & 1 & 1\\0 & 4 & 3\end{array}\right]$$$

Answer

The reduced matrix is $$$\left[\begin{array}{cc|c}1 & 1 & 1\\0 & 4 & 3\end{array}\right]$$$A.