Calculate the eigenvalues of this matrix:

[Note-- you'll probably want to use a calculator or computer to estimate the roots of the polynomial which defines the eigenvalues. You also may want to view a phase plane plot (right click to open in a new window).] ]

$A = \left[\begin{array}{cc} 56 &-20\cr 6 &22 \end{array}\right]$

smaller eigenvalue $=$

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

larger eigenvalue $=$

associated, eigenvector $=$ $\left[\Rule{0pt}{2.4em}{0pt}\right.$ $\left]\Rule{0pt}{2.4em}{0pt}\right.$

All of the solution curves would run away from 0. (Unstable node)

If $y' = Ay$ is a differential equation, how would the solution curves behave?

Your overall score for this problem is