- Show that for the given matrices, in other words, in other words, show that is diagonalizable.
- Determine whether or not is diagonalizable. If so, find and such that .
a.
Only one eigenvalue
A is not diagonolizable
b.
c.
d.
3. Compute where .
4. Suppose that a matrix has eigenvalues . Compute .
5. Find a matrix whose eigenvalues are and associated eigenvectors are .
6. Suppose that are eigenvalues of a matrix with associated eigenvectors and . Prove that for .