

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