(1 point) Find the eigenvalues and eigenvectors of the matrix
[[3,0,0],[0,3,-8],[-4,4,-9]]
From smallest to largest, the eigenvalues are \lambda _(1)<\lambda _(2)<\lambda _(3)
where
\lambda _(1)=
has an eigenvector
\lambda _(2)=
has an eigenvector
\lambda _(3)=
has an eigenvector
Note: you may want to use a graphing calculator to estimate the
roots of the polynomial which defines the eigenvalues.