For the matrix \[{\text{A}} = \left[ {\begin{array}{*{20}{c}} 3&{ - 2}&2 \\ 0&{ - 2}&1 \\ 0&0&1 \end{array}} \right],\] one of the eigen values is equal to -2. Which of the following is an eigen vector?
A. \[\left[ {\begin{array}{*{20}{c}} 3 \\ { - 2} \\ 1 \end{array}} \right]\]
B. \[\left[ {\begin{array}{*{20}{c}} { - 3} \\ 2 \\ { - 1} \end{array}} \right]\]
C. \[\left[ {\begin{array}{*{20}{c}} 1 \\ { - 2} \\ 3 \end{array}} \right]\]
D. \[\left[ {\begin{array}{*{20}{c}} 2 \\ 5 \\ 0 \end{array}} \right]\]
Answer: Option D
This Question Belongs to Engineering Maths >> Linear Algebra
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