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GATE ES 2026 | Question: 27

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Consider the matrix $A=\left[\begin{array}{ccc}2 & 2 & 3 \\ 2 & 5 & 6 \\ 3 & 4 & 10\end{array}\right]$.

Which ONE of the following options CORRECTLY lists the eigenvalues of $A$?

  1. $1 ; 8-\sqrt{37} ;-8+\sqrt{37}$
  2. $2 ; 8-\sqrt{37} ;-8+\sqrt{37}$
  3. $1 ;  8+\sqrt{37} ; \quad 8-\sqrt{37}$
  4. $2 ; 8+\sqrt{37} ; \quad 8+\sqrt{37}$

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