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Let A be a 3x3 real matrix. Suppose 1 and -1 are two of the three Eigen values of A and 18 is one of the Eigen values of $A^2 + 3A$. Then.

a) Both A and $A^2 + 3A$  are invertible

b) $A^2 + 3A$  is invertible but A is not
c) A is invertible but $A^2 + 3A$  is not

d) Both A and $A^2 + 3A$  are not invertible
closed with the note: Got the solution.
in Linear Algebra by (176 points)
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