Find a basis for the column space of $$A=\left[\begin{array}{ccccc} 3 &0 &-3 &-1 &1\cr 4 &-3 &2 &1 &-3\cr 5 &-3 &2 &1 &-3\cr -2 &3 &-5 &-2 &4 \end{array}\right].$$ Basis = $\Bigg\lbrace$ $\left[\Rule{0pt}{4.8em}{0pt}\right.$$\left]\Rule{0pt}{4.8em}{0pt}\right.$, $\left[\Rule{0pt}{4.8em}{0pt}\right.$$\left]\Rule{0pt}{4.8em}{0pt}\right.$, $\left[\Rule{0pt}{4.8em}{0pt}\right.$$\left]\Rule{0pt}{4.8em}{0pt}\right.$ $\Bigg\rbrace.$