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GATE Mechanical 2024 | Question: 26

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​​​​The matrix $\left[\begin{array}{ll}1 & a \\ 8 & 3\end{array}\right]$ (where $a>0$ ) has a negative eigenvalue if $a$ is greater than

  1. $\frac{3}{8}$
  2. $\frac{1}{8}$
  3. $\frac{1}{4}$
  4. $\frac{1}{5}$
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