engineering recuitment BHEL Engineer Trainee Mock Test 2025 Engineering Mathematics Linear Algebra Eigenvalues
Consider the matrix \(\left[ {\begin{array}{*{20}{c}} 5\\ 4 \end{array}\begin{array}{*{20}{c}} { - 1}\\ 1 \end{array}} \right]\). Which one of the following statements is TRUE for the eigen values and eigen vectors of this matrix?
1
Both the Eigen values are same and equal to 3, and only one independent eigen vector exists.
2
Both the Eigen values are same and equal to 3, and only two independent eigen vector exists.
3
Eigen values are 3 and -3, and no independent eigen vector exists.
4
Eigen values are 3 and -3, and only one independent eigen vector exists.