Discuss for all values of `lambda `, the system of equations `x+y+4z =6, x+2y-2z =6, lambda x+ y+z=6` as regards existances and natures of solutions.

The system of linear equations x-y-2z=6.-x+y+z=mu,lambda x+y+z=3 has

The set of all values of lambda for which the system of linear equations x - 2y - 2z = lambdax x + 2y + z = lambday -x -y = lambdaz has a non-trivial solution

The values of lambda for which the system of euations x+y+z=6x+2y+3z=10 x+2y+lambdaz=12 is inconsistent

The values of lambda and b for which the equations x+y+z=3, x+3y+2z=6, and x+ lambday +3z=b have

The values of lambda and mu such that the system of equations x + y + z = 6, 3x + 5y + 5z = 26, x + 2y + lambda z = mu has no solution, are :

The value of lambda such that the system of equations x-2y+z=-4,2x-y+2z=2 and x+y+ lambda z=4, has no solution is

The value of lambda for which the system of equations 2x-y-z=12,x-2y+z=-4,x+y+z=4 has no solution is