Q91
The matrix \[ A = [ array*20c 3/2&0&1/2 \\ 0& - 1&0 \\ 1/2&0&3/2 array ]\] has three distinct eigen values and one of its eigen vectors is \[ [ array*20c 1 \\ 0 \\ 1 array ].\] Which one of the following can be another eigen vector of A?
The matrix {\text{A}} = \left[ {\begin{array}{*{20}{c}}
{\frac{3}{2}}&0&{\frac{1}{2}} \\
0&{ - 1}&0 \\
{\frac{1}{2}}&0&{\frac{3}{2}}
\end{array}} \right] has three distinct eigen values and one of its eigen vectors is \left[ {\begin{array}{*{20}{c}}
1 \\
0 \\
1
\end{array}} \right].
Which one of the following can be another eigen vector of A?
Which one of the following can be another eigen vector of A?
A.
\left[ {\begin{array}{*{20}{c}}
0 \\
0 \\
{ - 1}
\end{array}} \right]
B.
\left[ {\begin{array}{*{20}{c}}
{ - 1} \\
0 \\
0
\end{array}} \right]
C.
\left[ {\begin{array}{*{20}{c}}
1 \\
0 \\
{ - 1}
\end{array}} \right]
AnswerD.
\left[ {\begin{array}{*{20}{c}}
1 \\
{ - 1} \\
1
\end{array}} \right]
Answer: Option C
Solution
Answer: Option C
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