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:

A

Reduce completely?

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Your Input

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

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 $\left[\begin{array}{ccc}5 & -2 & 1\\0 & \frac{17}{5} & \frac{34}{5}\end{array}\right] = \left[\begin{array}{ccc}5 & -2 & 1\\0 & 3.4 & 6.8\end{array}\right].$ A

Gauss-Jordan elimination on [5−21137]\left[\begin{array}{cc|c}5 & -2 & 1\\1 & 3 & 7\end{array}\right][51​−23​17​]

Your Input

Solution

Answer

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