Write down the jordan canonical form of, Mechanical Engineering

Write down the jordan canonical form of

Show that the eigenvalues of the matrix

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.

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