Find a $2\times 2$ matrix $A$ for which $$E_{3} = \mathrm{span} \left\lbrace \left[\begin{array}{c} -2\cr -5 \end{array}\right] \right\rbrace, \ \ \ \ E_{5} = \mathrm{span} \left\lbrace \left[\begin{array}{c} -1\cr -3 \end{array}\right] \right\rbrace,$$ where $E_{\lambda}$ denotes the eigenspace associated with the eigenvalue $\lambda$.

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