Find a basis of the row space of the matrix

A $=\backslash$left$[\backslash$begin$\{$array$\}\{$ccccc$\}$

$0$ &$2$ &$-4$ &$-1$ &$4\backslash$cr

$-1$ &$2$ &$-4$ &$2$ &$3\backslash$cr

$1$ &$0$ &$0$ &$-3$ &$2\backslash$cr

$-2$ &$6$ &$-12$ &$3$ &$10$

$\backslash$end$\{$array$\}\backslash$right$].$

Basis:

$\backslash$big$\backslash$lbrace $\backslash$left$[\backslash$vrule width $0$pt height $1$em depth $0$pt$\backslash$right$.$

$\backslash$left$]\backslash$vrule width $0$pt height $1$em depth $0$pt$\backslash$right$.,$

$\backslash$left$[\backslash$vrule width $0$pt height $1$em depth $0$pt$\backslash$right$.$

$\backslash$left$]\backslash$vrule width $0$pt height $1$em depth $0$pt$\backslash$right$.,$

$\backslash$left$[\backslash$vrule width $0$pt height $1$em depth $0$pt$\backslash$right$.$

$\backslash$left$]\backslash$vrule width $0$pt height $1$em depth $0$pt$\backslash$right$.\backslash$big$\backslash$rbrace$.$