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GATE2015-2-28

in Linear Algebra edited by
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The two Eigen values of the matrix $\begin{bmatrix} 2 & 1 \\ 1 & p \end{bmatrix}$ have a ratio of $3:1$ for $p=2$. What is another value of $p$ for which the Eigen values have the same ratio of $3:1$?

  1. $-2$
  2. $1$
  3. $7/3$
  4. $14/3$
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