RREF of [[-2,2],[0,0]]

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

Size of the matrix:

$$$\times$$$

Matrix:

Reduced?

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Your Input

Find the reduced row echelon form of $$$\left[\begin{array}{cc}-2 & 2\\0 & 0\end{array}\right]$$$.

Solution

Divide row $$$1$$$ by $$$-2$$$: $$$R_{1} = - \frac{R_{1}}{2}$$$.

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

Since the element at row $$$2$$$ and column $$$2$$$ (pivot element) equals $$$0$$$, we need to swap the rows.

Find the first nonzero element in column $$$2$$$ under the pivot entry.

As can be seen, there are no such entries.

Answer

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

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

Your Input

Solution

Answer