4. A researcher finds that some 5x5 matrix, A, has eigenvalues
?? = -8, ?? = -2, ?? = 1, ?? = 1, ?? = 4.
(a) What can be said about the existence of the matrix inverse, A?¹? Very briefly explain.
Inverse A?¹ exists, because no eigenvalue is equal
to 0.
(b) What can be said about the DIAGONALIZEABILTY of the matrix A? Be clear.