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Engineering Maths · Q75

Linear Algebra

Engineering and GATE · Engineering Maths · question 75

Q75

Given the matrix \[ [ array*20c - 4&2 \\ 4&3 array ],\] the eigen vector is

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

Answer: Option C

Solution

Answer: Option C
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