Q38
A matrix has eigen values -1 and -2. The corresponding eigen vectors are \[ [ array*20c 1 \\ - 1 array ]\] and \[ [ array*20c 1 \\ - 2 array ]\] respectively. The matrix is
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]
AnswerAnswer: Option D
Solution
Answer: Option D
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