Row space of [[7,24],[0,1]]

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

Size of the matrix:

$$$\times$$$

Matrix:

A

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

The reduced row echelon form of the matrix is $$$\left[\begin{array}{cc}1 & 0\\0 & 1\end{array}\right]$$$ (for steps, see rref calculator).

The row space is a space spanned by the nonzero rows of the reduced matrix.

Thus, the row space is $$$\left\{\left[\begin{array}{c}1\\0\end{array}\right], \left[\begin{array}{c}0\\1\end{array}\right]\right\}$$$.

The row space of the matrix is $$$\left\{\left[\begin{array}{c}1\\0\end{array}\right], \left[\begin{array}{c}0\\1\end{array}\right]\right\}$$$A.

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