Consider the unreduced Hessenberg matrix H, where
H=\left[\begin{array}{lll}1 & 0 & 0 \\1 & 1 & 0 \\0 & 1 & 1\end{array}\right].
Note that the eigenvalue λ = 1 has algebraic multiplicity 3. Find generalized eigenvectors of orders 2 and 3.
Consider the unreduced Hessenberg matrix H, where
H=\left[\begin{array}{lll}1 & 0 & 0 \\1 & 1 & 0 \\0 & 1 & 1\end{array}\right].
Note that the eigenvalue λ = 1 has algebraic multiplicity 3. Find generalized eigenvectors of orders 2 and 3.