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  3. let 3x3 matrix a = -3 0 -4            

Let 3x3 matrix A = -3 0 -4                               0 5 0                              -4 0 3 a) Find the eigenvalues...

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Basic Math

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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