The following system of linear equations...

The following system of linear equations
7x+6y-2z =0
3x+4y+2z =0
x-2y-6xz=0 has

A

(a)no. solution

B

(b)only trivial solution

C

(c)Infinite non trivial solution for `x = 2z`

D

(d)Infinite non trivial solution for `y = 2z`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

Using matrices, solve the following system of linear equations: x - y+2z=7 ; 3x+4y- 5z=-5 ; 2x - y+3z=12

Using matrix method, solve the following system of linear equations. 3x+4y+2z=8, 2y-3z=3 and x-2y+6z=-2

Using matrices, solve the following system of linear equations: x\ -\ y+2z=7 3x+4y\ -\ 5z=-5 2x\ -\ y+3z=12

Solve following system of homogeneous linear equations: x+y-2z=0,\ \ 2x+y-3z=0,\ \ 5x+4y-9z=0

Solve the following system of homogeneous equations: x+y-z=0 x-2y+z=0 3x+6y-5z=0

Solve the following system of equations 3x - 4y + 5z = 0, x + y - 2z = 0, 2x + 3y + z = 0

Solve the following system of linear equations using matrix method : 3x + y + z = 1, 2x + 2z =0, 5x + y + 2z = 0 .

Solve the following system of homogeneous equations: 2x+3y-z=0 x-y-2z=0 3x+y+3z=0