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
B. 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
This Question Belongs to Engineering Maths >> Linear Algebra
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