Mathematics - Vectors and Matrices
is a null matrix, then θ and Φ differ by an
52. Sum of the eigen values of the matrix
for real and negative values of x is
- Option : A
- Explanation : 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 )
4x + 6y = 8
7x + 8y = 9
3x + 2y = 1
has
- Option : B
- Explanation : 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.
4x + 6y = 8
7x + 8y = 9
3x + 2y = 1
has
- Option : B
- Explanation : 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.
are
