1.

For the matrix \(A = \left[ {\begin{array}{*{20}{c}} 5&3\\ 1&3 \end{array}} \right]\), ONE of the normalized eigen vectors is given as

A. \(\left( {\begin{array}{*{20}{c}} {\frac{1}{2}}\\ {\frac{{\sqrt 3 }}{2}} \end{array}} \right)\)
B. \(\left( {\begin{array}{*{20}{c}} {\frac{1}{{\sqrt 2 }}}\\ {\frac{{ - 1}}{{\sqrt 2 }}} \end{array}} \right)\)
C. \(\left( {\begin{array}{*{20}{c}} {\frac{3}{{\sqrt {10} }}}\\ {\frac{{ - 1}}{{\sqrt {10} }}} \end{array}} \right)\)
D. \(\left( {\begin{array}{*{20}{c}} {\frac{1}{{\sqrt 5 }}}\\ {\frac{2}{{\sqrt 5 }}} \end{array}} \right)\)
Answer» C. \(\left( {\begin{array}{*{20}{c}} {\frac{3}{{\sqrt {10} }}}\\ {\frac{{ - 1}}{{\sqrt {10} }}} \end{array}} \right)\)


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