Home
Class 12
MATHS
If the trivial solution is the only solu...

If the trivial solution is the only solution of the system of equations
`x-ky + z = 0,`
`kx + 3y-kz=0,`
` 3x + y-z = 0`
Then the set of all values of `k` is:

A

{2,-3}

B

R-{2,-3}

C

R-{2}

D

R-{-3}

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

The given system of equations x-ky-z=0, kx-y-z=0, x+y-z=0 has non zero solution then the possible value of k is …..

Find the nature of solution for the given system of equation: x+2y+3z=1;2x+3y+4z=3;3x+4y+5z=0

The system of equations ax-y- z=a-1 ,x-ay-z=a-1,x-y-az=a-1 has no solution if a is

If the system of equations x + 2y + 3z = 4, x+ py+ 2z = 3, x+ 4y + z = 3 has an infinite number of solutions and solution triplet is

The solution set of the constraints x+2y ge 11, 3x+4y le 30, 2x+5y le 30, x ge 0, y ge 0 includes the point.

For what values of k the set of equations 2x- 3y + 6z - 5t = 3, y -4z + t=1 , 4x-5y+8z-9t = k has

Values of k for which the system of equation x+ky+3z=0, kx+2y+2z=0 and 2x+3y+4z=0 possesses non-trivial solution

The system of equations {:(x+2y+3z=4),(2x+3y+4z=5),(3x+4y+5z=6):} has …………… solutions

The number of integral solutions of equation x+y+z+t=29, when x >= 1, y >= 2, z>= 3 and t >= 0 is