RREF of $$$\left[\begin{array}{cc}7 & 24\\0 & 1\end{array}\right]$$$

The calculator will find the reduced row echelon form of the $$$2$$$x$$$2$$$ matrix $$$\left[\begin{array}{cc}7 & 24\\0 & 1\end{array}\right]$$$, with steps shown.

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A

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Your Input

Find the reduced row echelon form of $$$\left[\begin{array}{cc}7 & 24\\0 & 1\end{array}\right]$$$.

Solution

Divide row $$$1$$$ by $$$7$$$: $$$R_{1} = \frac{R_{1}}{7}$$$.

$$$\left[\begin{array}{cc}1 & \frac{24}{7}\\0 & 1\end{array}\right]$$$

Subtract row $$$2$$$ multiplied by $$$\frac{24}{7}$$$ from row $$$1$$$: $$$R_{1} = R_{1} - \frac{24 R_{2}}{7}$$$.

$$$\left[\begin{array}{cc}1 & 0\\0 & 1\end{array}\right]$$$

Answer

The reduced row echelon form is $$$\left[\begin{array}{cc}1 & 0\\0 & 1\end{array}\right]$$$A.


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