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What are the other 2 eigenvalues of a and what is the

A certain 4x4 real matrix is known to have these properties:

1) Two of the eigenvalues of A are L1= 3 and L2= 2.

2) The number 3 is an eigenvalue of the matrix A + 2I.

3) det. A = 12.

What are the other 2 eigenvalues of A and what is the characteristic polynomial of A, At, and A-1?

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