Find an eigenvalue and eigenvector with generalized eigenvector for the matrix $\displaystyle \mathrm{A} = \left\lbrack \begin{array}{rr} 0 & -2 \\ 8 & -8 \end{array} \right\rbrack$

$\lambda =$

with eigenvector $\boldsymbol{\vec{v}} =$

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

with generalized eigenvector $\boldsymbol{\vec{w}} =$

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