GATE ME 2005 | Linear Algebra Question 40 | Engineering Mathematics

GATE ME 2005

MCQ (Single Correct Answer)

-0.6

Which one of the following is an eigen vector of the matrix $$\left[ {\matrix{ 5 & 0 & 0 & 0 \cr 0 & 5 & 0 & 0 \cr 0 & 0 & 2 & 1 \cr 0 & 0 & 3 & 1 \cr } } \right]$$ is

$${\left[ {\matrix{ 1 & { - 2} & 0 & 0 \cr } } \right]^T}$$

$${\left[ {\matrix{ 0 & { 0} & 1 & 0 \cr } } \right]^T}$$

$${\left[ {\matrix{ 1 & { 0} & 0 & -2 \cr } } \right]^T}$$

$${\left[ {\matrix{ 1 & { - 1} & 2 & 1 \cr } } \right]^T}$$

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