The eigen values and the corresponding eigen vectors of a 2 × 2 matrix are given by
\[\begin{array}{*{20}{c}} {{\text{Eigen value}}}&{{\text{Eigen vector}}} \\ {{\lambda _1} = 8}&{{{\text{v}}_1} = \left[ {\begin{array}{*{20}{c}} 1 \\ 1 \end{array}} \right]} \\ {{\lambda _2} = 4}&{{{\text{v}}_2} = \left[ {\begin{array}{*{20}{c}} 1 \\ { - 1} \end{array}} \right]} \end{array}\]
The matrix is

A. \[\left[ {\begin{array}{*{20}{c}} 6&2 \\ 2&6 \end{array}} \right]\]

B. \[\left[ {\begin{array}{*{20}{c}} 4&6 \\ 6&4 \end{array}} \right]\]

C. \[\left[ {\begin{array}{*{20}{c}} 2&4 \\ 4&2 \end{array}} \right]\]

D. \[\left[ {\begin{array}{*{20}{c}} 4&8 \\ 8&4 \end{array}} \right]\]

Answer: Option A