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Engineering Maths · Q88

Linear Algebra

Engineering and GATE · Engineering Maths · question 88

Q88

The eigen vector pair of the matrix \[ [ array*20c 3&4 \\ 4& - 3 array ]\] is

The eigen vector pair of the matrix \left[ {\begin{array}{*{20}{c}} 3&4 \\ 4&{ - 3} \end{array}} \right]  is
A.
\left[ {\begin{array}{*{20}{c}} 1 \\ 2 \end{array}} \right]\left[ {\begin{array}{*{20}{c}} 1 \\ { - 2} \end{array}} \right]
B.
\left[ {\begin{array}{*{20}{c}} 2 \\ 1 \end{array}} \right]\left[ {\begin{array}{*{20}{c}} 1 \\ { - 2} \end{array}} \right]
Answer
C.
\left[ {\begin{array}{*{20}{c}} 2 \\ { - 1} \end{array}} \right]\left[ {\begin{array}{*{20}{c}} 1 \\ { - 2} \end{array}} \right]
D.
\left[ {\begin{array}{*{20}{c}} { - 2} \\ 1 \end{array}} \right]\left[ {\begin{array}{*{20}{c}} 1 \\ 2 \end{array}} \right]

Answer: Option B

Solution

Answer: Option B
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