GATE Civil Engineering
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The smallest and largest Eigen values of the following matrix are:

$\begin{bmatrix} 3 & -2 & 2 \\ 4 & -4 & 6 \\ 2 & -3 & 5 \end{bmatrix}$

  1. $1.5$ and $2.5$
  2. $0.5$ and $2.5$
  3. $1.0$ and $3.0$
  4. $1.0$ and $2.0$
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