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In: Math

Let 3x3 matrix A = -3 0 -4                               0 5 0        &nb

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 D such that Pinv AP = D is diagonal).

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