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

Question

TuteeHUB · Accepted Answer

$\left( {\begin{array}{*{20}{c}} {\frac{3}{{\sqrt {10} }}}\ {\frac{{ - 1}}{{\sqrt {10} }}} \end{array}} \right)$

TuteeHUB · Answer

$\left( {\begin{array}{*{20}{c}} {\frac{1}{2}}\ {\frac{{\sqrt 3 }}{2}} \end{array}} \right)$

TuteeHUB · Answer

$\left( {\begin{array}{*{20}{c}} {\frac{1}{{\sqrt 2 }}}\ {\frac{{ - 1}}{{\sqrt 2 }}} \end{array}} \right)$

TuteeHUB · Answer

$\left( {\begin{array}{*{20}{c}} {\frac{1}{{\sqrt 5 }}}\ {\frac{2}{{\sqrt 5 }}} \end{array}} \right)$

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. \(\left( {\begin{array}{*{20}{c}} {\frac{3}{{\sqrt {10} }}}\\ {\frac{{ - 1}}{{\sqrt {10} }}} \end{array}} \right)\)

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