A. | x_{1}=0, x_{2}=0, x_{3}=0 |
B. | x_{1}=1, x_{2}=1, x_{3}=0 |
C. | x_{1}=0, x_{2}=1, x_{3}=1 |
D. | x_{1}=2, x_{2}=-5, x_{3}=-1 |
Option: A Explanation : $$ AX = B Multiplying both sides by A^{-1} X = A^{-1}B But as B = 0 therfore X = 0 x_{1} = 0, x_{2} = 0, x_{3} = 0 Click on Discuss to view users comments. |
A. | odd multiple of π |
B. | even multiple of π |
C. | odd multiple of π/2 |
D. | even multiple of π/2 |
Option: C Explanation : is an odd miltiple of Click on Discuss to view users comments. |
A. | greater than zero |
B. | less than zero |
C. | zero |
D. | dependent on value of x |
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 λ_{1 }and λ_{2} be the solutions of the above equations then λ_{1 }and λ_{2 }are eigen values. Now sum of eigen values = sum of roots of the above equation = 4 (> 0 )
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The system of equations
4x + 6y = 8
7x + 8y = 9
3x + 2y = 1
has
A. | no solutions |
B. | only one solution |
C. | two solutions |
D. | infinite number of solutions |
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. Click on Discuss to view users comments. |
The system of equations
4x + 6y = 8
7x + 8y = 9
3x + 2y = 1
has
A. | no solutions |
B. | only one solution |
C. | two solutions |
D. | infinite number of solutions |
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. Click on Discuss to view users comments. |