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Engineering Maths · Q94

Linear Algebra

Engineering and GATE · Engineering Maths · question 94

Q94

Which one of the following is an eigen vector of the matrix \[ [ array*20c 5&0&0&0 \\ 0&5&5&0 \\ 0&0&2&1 \\ 0&0&3&1 array ]?\]

Which one of the following is an eigen vector of the matrix \left[ {\begin{array}{*{20}{c}} 5&0&0&0 \\ 0&5&5&0 \\ 0&0&2&1 \\ 0&0&3&1 \end{array}} \right]?
A.
\left[ {\begin{array}{*{20}{c}} 1 \\ { - 2} \\ 0 \\ 0 \end{array}} \right]
Answer
B.
\left[ {\begin{array}{*{20}{c}} 0 \\ 0 \\ 1 \\ 0 \end{array}} \right]
C.
\left[ {\begin{array}{*{20}{c}} 1 \\ 0 \\ 0 \\ { - 2} \end{array}} \right]
D.
\left[ {\begin{array}{*{20}{c}} 1 \\ { - 1} \\ 2 \\ 1 \end{array}} \right]

Answer: Option A

Solution

Answer: Option A
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