The smallest and largest Eigen values of the following matrix are...

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The smallest and largest Eigen values of the following matrix are \[\left[ {\begin{array}{*{20}{c}} 3&{ - 2}&2 \\ 4&{ - 4}&6 \\ 2&{ - 3}&5 \end{array}} \right]\]

A. 1.5 and 2.5

B. 0.5 and 2.5

C. 1.0 and 3.0

D. 1.0 and 2.0

Answer: Option D

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