a nondiagonable matrix

1
example a nondiagonable matrix
Pamela Leutwyler
2
(No Transcript)
3
(No Transcript)
4
(No Transcript)
5
(No Transcript)
6
eigenvalues 2, 2, 1
7
eigenvalues 2, 2, 1
x 2y
y 1y
z 0y
8
eigenvalues 2, 2, 1
x 2y
y 1y
z 0y
The one dimensional eigenspace multiples of (2,
1, 0)
9
eigenvalues 2, 2, 1
x 3y
y 1y
z 0y
10
eigenvalues 2, 2, 1
x 3y
y 1y
z 0y
The eigenspace multiples of (3, 1, 0)
11
eigenvalues 2, 2, 1 eigenvectors
The repeated root has a 1 dimensional
eigenspace. There are not enough independent
eigenvectors to make a basis for
R3. A is NOT DIAGONABLE.