|
Gauss-Jordan elimination on $$$\left[\begin{array}{cc|c}1 & 1 & 1\\2 & 1 & 7\end{array}\right]$$$
Related calculators: Reduced Row Echelon Form (RREF) Calculator, Matrix Inverse Calculator
Your Input
Perform the Gauss-Jordan elimination on $$$\left[\begin{array}{cc|c}1 & 1 & 1\\2 & 1 & 7\end{array}\right]$$$.
Solution
Subtract row $$$1$$$ multiplied by $$$2$$$ from row $$$2$$$: $$$R_{2} = R_{2} - 2 R_{1}$$$.
$$$\left[\begin{array}{cc|c}1 & 1 & 1\\0 & -1 & 5\end{array}\right]$$$
Answer
The reduced matrix is $$$\left[\begin{array}{cc|c}1 & 1 & 1\\0 & -1 & 5\end{array}\right]$$$A.