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The condition for which the eigen values of the matrix \[{\text{A}} = \left[ {\begin{array}{*{20}{c}} 2&1 \\ 1&{\text{k}} \end{array}} \right]\] are positive, is

A. k > \[\frac{1}{2}\]

B. k > -2

C. k > 0

D. k < -\[\frac{1}{2}\]

Answer: Option A

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