Find a matrix A {\textstyle A} that has eigenvectors v → 1 = [ 1 0 ] {\textstyle {\vec {v}}_{1}=\left[{\begin{array}{c}1\\0\end{array}}\right]} and v → 2 = [ 2 1 ] {\textstyle {\vec {v}}_{2}=\left[{\begin{array}{c}2\\1\end{array}}\right]} , corresponding to eigenvalues λ 1 = 1 {\textstyle \lambda _{1}=1} and λ 2 = 2 {\textstyle \lambda _{2}=2} .
![{\textstyle {\vec {v}}_{1}=\left[{\begin{array}{c}1\\0\end{array}}\right]}](https://wiki.ubc.ca/api/rest_v1/media/math/render/svg/dcca7f88aee783cbee6ee49d085606d442fa03a4)
![{\textstyle {\vec {v}}_{2}=\left[{\begin{array}{c}2\\1\end{array}}\right]}](https://wiki.ubc.ca/api/rest_v1/media/math/render/svg/f633cdc58307b8788b5e70857330b94c7c830cea)
