Q176
Consider the matrix \[ [ array*20c 5& - 1 \\ 4&1 array ]\] . Which one of the following statements is TRUE for the eigen values and eigen vectors of this matrix?
Consider the matrix \left[ {\begin{array}{*{20}{c}}
5&{ - 1} \\
4&1
\end{array}} \right] . Which one of the following statements is TRUE for the eigen values and eigen vectors of this matrix?
A.
Eigen value 3 has a multiplicity of 2, and only one independent eigen vector exists
AnswerB.
Eigen value 3 has a multiplicity of 2, and two independent eigen vector exists
C.
Eigen value 3 has a multiplicity of 2, and no independent eigen vector exists
D.
Eigen value are 3 and -3, and two independent eigen vectors exist
Answer: Option A
Solution
Answer: Option A
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