Show that the eigenvalues of the matrix
![1720_c935f241-8d4d-42ed-a075-4200b40d4577.png](https://secure.tutorsglobe.com/CMSImages/1720_c935f241-8d4d-42ed-a075-4200b40d4577.png)
are -2, -2, 4 and 4. Using the nullity, given by (1.11), of appropriate matrices, show that there are two linearly independent eigenvectors corresponding to the repeated eigenvalue -2 and only one corresponding to the repeated eigenvalue 4. Obtain a further generalized eigenvector corresponding to the eigenvalue 4. Write down the Jordan canonical form of A.