Show that the matrix is not diagonalizable.
[[3,-4,3],[0,3,1],[0,0,4]]
STEP 1: Use the fact that the matrix is triangular to write down the eigenvalues. (Enter your answers from smallest to largest.)
(\lambda _(1),\lambda _(2))=1
STEP 2: Find the eigenvectors
x_(1)
and
x_(2)
corresponding to
\lambda _(1)
and
\lambda _(2)
, respectively.
x_(1)=
x_(2)=
STEP 3: Since the matrix does not have linearly independent eigenvectors, you can conclude that the matrix is not diagonalizable. Need Help?