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Engineering Maths · Q17

Linear Algebra

Engineering and GATE · Engineering Maths · question 17

Q17

One of the eigen vectors of matrix is \[ [ array*20c - 5&2 \\ - 9&6 array ]\] is

One of the eigen vectors of matrix is \left[ {\begin{array}{*{20}{c}} { - 5}&2 \\ { - 9}&6 \end{array}} \right]  is
A.
\left\{ {\begin{array}{*{20}{c}} { - 1} \\ 1 \end{array}} \right\}
B.
\left\{ {\begin{array}{*{20}{c}} { - 2} \\ 9 \end{array}} \right\}
C.
\left\{ {\begin{array}{*{20}{c}} 2 \\ { - 1} \end{array}} \right\}
D.
\left\{ {\begin{array}{*{20}{c}} 1 \\ 1 \end{array}} \right\}
Answer

Answer: Option D

Solution

Answer: Option D
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