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))=1STEP 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?
