Mathematics MCQ - Vectors and Matrices
Eigen values are given by the solution of equation
Since x is real and negative, put x = -k, where k is positive constant
If λ1 and λ2 be the solutions of the above equations then λ1 and λ2 are eigen values.
Now sum of eigen values = sum of roots of the above equation
= 4 (> 0 )
For given system of equations
= 4 (8 - 18) - 6 (7 - 27) + 8 (14 - 24)
= -40 + 120 - 80 = 0
Since
= 0, hence given system of equations has unique solution, i.e. only one solution.
For given system of equations
= 4 (8 - 18) - 6 (7 - 27) + 8 (14 - 24)
= -40 + 120 - 80 = 0
Since
= 0, hence given system of equations has unique solution, i.e. only one solution.

