The value of a for which the system of linear equations `ax+y+z=0, ay+z=0,x+y+z = 0` possesses non-trivial solution is

The values of k for which the system of equations kx+y+z=0,x-ky+z=0 and x+y+z=0 possesses non-trivial solution. Are

The greatest value of for which the system of linear equations x-cy-cz=0 cx-y+cz=0 cx+cy-z=0 Has a non-trivial solution, is 1/k . The value of k is _________.

The real value of k for which the system of equation 2k x-2y+3z=0, x+ky+2z=0, 2x+kz=0 has non-trivial solution is

The value of k for which the set of equations 3x+ky-2z=0, x + ky + 3z = 0 and 2x+3y-4z=0 has non-trivial solution is (A) 15 (B) 16 (C) 31/2 (D) 33/2

The number of value of k for which the linear equations 4x+k y+2z=0k x=4y+z=0 2x+2y+z=0 posses a non-zero solution is- a. 1 b. \ zero c. \ 3 d. 2

Find a in R for which the system of equations 2ax-2y+3z=0 , x+ay + 2z=0 and 2x+az=0 also have a non-trivial solution.

The system of equations ax + 4y + z = 0,bx + 3y + z = 0, cx + 2y + z = 0 has non-trivial solution if a, b, c are in

The value(s) of lambda for which the system of equations (1-lambda)x+3y-4z=0 x-(3+lambda)y + 5z=0 3x+y-lambdaz=0 possesses non-trivial solutions .

Find the real values of lambda for which the following system of linear equations has non-trivial solutions. Also, find the non-trivial solutions. 2lambdax-2y+3z=0 x+lambday+2z=0 2x+lambdaz=0

Find the real values of lambda for which the following system of linear equations has non-trivial solutions. Also, find the non-trivial solutions. 2lambdax-2y+3z=0 x+lambday+2z=0 2x+lambdaz=0