Let 3x3 matrix A = -3 0 -4
0 5 0
-4 0 3
a) Find the eigenvalues of A and list their multiplicities.
b) Find a basis, Bi, for each eigenspace, E(i).
c) If possible, diagonalise matrix A. (i.e find matrices P and Dsuch that Pinv AP = D is diagonal).
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