For the matrix A = \left[\begin{array}{cc}5 & 3 \ 1 & 3 \ ]\end{array}, ONE of the normalized eigen vectors is given as

\left(\begin{array}{c}\\\{1\end\frac{array}{2} ; {\sqrt{3}}/{2} ; )}

\left(\begin{array}{c}\\\{1\end{array}/{\sqrt{2}} ; {−1}/{\sqrt{2}} ; )}

\left(\begin{array}{c}\\\{3\end{array}/{\sqrt{10}} ; {−1}/{\sqrt{10}} ; )}

\left(\begin{array}{c}\\\{1\end{array}/{\sqrt{5}} ; {2}/{\sqrt{5}} ; )}

GATE Mechanical Engineering (ME) 2012 Solved Paper

Question : 57 of 65

Marks: +1, -0

For the matrix

A = {[\table 5 , 3 ; 1 , 3 ; ]}

, ONE of the normalized eigen vectors is given as

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