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

  1. Both $A$ and $A^2+3 A$ are invertible
  2. $A^2+3 A$ is invertible but $A$ is not invertible
  3. $A$ is invertible but $A^2+3 A$ is not invertible
  4. Both $\mathrm{A}$ and $A^2+3 A$ are not invertible.
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