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Engineering Maths · Q108

Linear Algebra

Engineering and GATE · Engineering Maths · question 108

Q108

The maximum value of "a" such that the matrix \[ ( array*20c - 3&0& - 2 \\ 1& - 1&0 \\ 0& a& - 2 array )\] has three linearly independent real eigen vectors is

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.
B.
Answer
C.
D.

Answer: Option B

Solution

Answer: Option B
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