Gauss-Jordan elimination on [[[5,-2],[1,3]],[1,7]']

The calculator will perform the Gaussian elimination on the $$$2$$$x$$$3$$$ matrix $$$\left[\begin{array}{cc|c}5 & -2 & 1\\1 & 3 & 7\end{array}\right]$$$, with steps shown.

Size of the matrix:

$$$\times$$$

Matrix:

Reduce completely?

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Your Input

Perform the Gauss-Jordan elimination on $$$\left[\begin{array}{cc|c}5 & -2 & 1\\1 & 3 & 7\end{array}\right]$$$.

Solution

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

$$$\left[\begin{array}{cc|c}5 & -2 & 1\\0 & \frac{17}{5} & \frac{34}{5}\end{array}\right]$$$

Answer

The reduced matrix is $$$\left[\begin{array}{cc|c}5 & -2 & 1\\0 & \frac{17}{5} & \frac{34}{5}\end{array}\right] = \left[\begin{array}{cc|c}5 & -2 & 1\\0 & 3.4 & 6.8\end{array}\right].$$$A