Consider the basis $B$ of ${\mathbb R}^2$ consisting of vectors $$\left[\begin{array}{c} -5\cr 3 \end{array}\right] \ \ \ \mbox{and} \ \ \ \left[\begin{array}{c} 0\cr 5 \end{array}\right].$$ Find $\vec{x}$ in ${\mathbb R}^2$ whose coordinate vector relative to the basis $B$ is $[\vec{x}]_B = \left[\begin{array}{c} -4\cr -4 \end{array}\right]$.

$\vec{x} =$ $\left[\Rule{0pt}{2.4em}{0pt}\right.$$\left]\Rule{0pt}{2.4em}{0pt}\right.$