I am getting A..what is the answer?

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ZeroFriction
asked
in Linear Algebra
Jul 5, 2018

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Let A be 3x3 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 but A is not.

c.) A is invertible but A^{2}+3A is not invertible.

d.) Both A and A^{2}+3A are not invertible.