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