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GATE XE 2023 | Question: 1

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Let $A$ be a $3 \times 3$ real matrix having eigenvalues $1,2,$ and $3$. If $B=A^{2}+2 A+I$, where $I$ is the $3 \times 3$ identity matrix, then the eigenvalues of $B$ are

  1. $4,9,16$
  2. $1,2,3$
  3. $1,4,9$
  4. $4,16,25$

     

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