Q169
For the matrix \[ A = [ array*20c 5&3 \\ 1&3 array ],\] ONE of the normalized eigen vectors is given as
For the matrix {\text{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)
AnswerC.
\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: Option B
Solution
Answer: Option B
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