Find the eigenvalues and eigenvectors of the matrix $\displaystyle \mathrm{A} = \left\lbrack \begin{array}{rr} -4 & -2 \\ 13 & 6 \end{array} \right\rbrack$

$\lambda_1 =$

, $\boldsymbol{\vec{v}_1} =$

$\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\end{array}}\right[$ $\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\end{array}}\right]$

and

$\lambda_2 =$

, $\boldsymbol{\vec{v}_2} =$

$\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\end{array}}\right[$ $\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\end{array}}\right]$