Examveda

The eigen vector pair of the matrix \[\left[ {\begin{array}{*{20}{c}} 3&4 \\ 4&{ - 3} \end{array}} \right]\]  is

A. \[\left[ {\begin{array}{*{20}{c}} 1 \\ 2 \end{array}} \right]\left[ {\begin{array}{*{20}{c}} 1 \\ { - 2} \end{array}} \right]\]

B. \[\left[ {\begin{array}{*{20}{c}} 2 \\ 1 \end{array}} \right]\left[ {\begin{array}{*{20}{c}} 1 \\ { - 2} \end{array}} \right]\]

C. \[\left[ {\begin{array}{*{20}{c}} 2 \\ { - 1} \end{array}} \right]\left[ {\begin{array}{*{20}{c}} 1 \\ { - 2} \end{array}} \right]\]

D. \[\left[ {\begin{array}{*{20}{c}} { - 2} \\ 1 \end{array}} \right]\left[ {\begin{array}{*{20}{c}} 1 \\ 2 \end{array}} \right]\]

Answer: Option B


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