A matrix has eigen values -1 and -2. The corresponding eigen vectors are \[\left[ {\begin{array}{*{20}{c}} 1 \\ { - 1} \end{array}} \right]\] and \[\left[ {\begin{array}{*{20}{c}} 1 \\ { - 2} \end{array}} \right]\] respectively. The matrix is
A. \[\left[ {\begin{array}{*{20}{c}} 1&1 \\ { - 1}&{ - 2} \end{array}} \right]\]
B. \[\left[ {\begin{array}{*{20}{c}} 1&2 \\ { - 2}&{ - 4} \end{array}} \right]\]
C. \[\left[ {\begin{array}{*{20}{c}} { - 1}&0 \\ 0&{ - 2} \end{array}} \right]\]
D. \[\left[ {\begin{array}{*{20}{c}} 0&1 \\ { - 2}&{ - 3} \end{array}} \right]\]
Answer: Option D
This Question Belongs to Engineering Maths >> Linear Algebra
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