RREF of [[1,2],[3,4]]

The calculator will find the reduced row echelon form of the $$$2$$$x$$$2$$$ matrix $$$\left[\begin{array}{cc}1 & 2\\3 & 4\end{array}\right]$$$, with steps shown.

Size of the matrix:

$$$\times$$$

Matrix:

A

Reduced?

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Your Input

Find the reduced row echelon form of $$$\left[\begin{array}{cc}1 & 2\\3 & 4\end{array}\right]$$$.

Solution

Subtract row $$$1$$$ multiplied by $$$3$$$ from row $$$2$$$: $$$R_{2} = R_{2} - 3 R_{1}$$$.

$$$\left[\begin{array}{cc}1 & 2\\0 & -2\end{array}\right]$$$

Divide row $$$2$$$ by $$$-2$$$: $$$R_{2} = - \frac{R_{2}}{2}$$$.

$$$\left[\begin{array}{cc}1 & 2\\0 & 1\end{array}\right]$$$

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

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

Answer

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

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RREF of $$$\left[\begin{array}{cc}1 & 2\\3 & 4\end{array}\right]$$$

Your Input

Solution

Answer