The maximum value of "a" such that the matrix \[\left( {\begin{array}{*{20}{c}} { - 3}&0&{ - 2} \\ 1&{ - 1}&0 \\ 0&{\text{a}}&{ - 2} \end{array}} \right)\] has three linearly independent real eigen vectors is
A. \[\frac{2}{{3\sqrt 3 }}\]
B. \[\frac{1}{{3\sqrt 3 }}\]
C. \[\frac{{1 + 2\sqrt 3 }}{{3\sqrt 3 }}\]
D. \[\frac{{1 + \sqrt 3 }}{{3\sqrt 3 }}\]
Answer: Option B
This Question Belongs to Engineering Maths >> Linear Algebra
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