Construct a $4 \times 3$ matrix $A = \lbrack \ \vec{a}_1 \ \ \vec{a}_2 \ \ \vec{a}_3 \ \rbrack$ such that $\lbrace \vec{a}_1, \vec{a}_2 \rbrace$ is a linearly dependent set and $\vec{a}_3$ is not in the span of $\lbrace \vec{a}_1, \vec{a}_2 \rbrace$.

$A =$ $\left[\Rule{0pt}{4.8em}{0pt}\right.$$\left]\Rule{0pt}{4.8em}{0pt}\right.$