The system of equations `ax+y+z=a-1,x+ay+z=a-1andx+y+az=a-1` does not have unique solution if a = ……..

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

The system of equations x+2y-4z=3,2x-3y+2z=5 and x -12y +16z =1 has

The system of equations alphax+y+z=alpha-1, x+alphay+z=alpha-1 x+y+alphaz=alpha-1 and has no solution if alpha 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 value of lambda for which the system of equations 2x-y-2z=2,x-2y +z = -4, x+y+lamda z=4 has no solution is

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

If the system of linear equations x+y+z=6, x+2y+3z=14 and 2x +5y+ lambdaz=mu(lambda,mu ne R) has a unique solution if lambda is

If the system of linear equations x+a y+a z=0,\ x+b y+b z=0,\ x+c y+c z=0 has a non zero solution then System is always non trivial solutions System is consistent only when a=b=c If a!=b!=c then x=0,\ y=t ,\ z=-t\ AAt in R If a=b=c\ t h e n\ y=t_1, z=t_2,\ x=-a(t_1+t_2)AAt_1, t_2 in R

Consider the system of equations x-2y+3z=-1 -x+y-2z=k x-3y+4z=1 Statement -1 The system of equation has no solutions for k ne 3 . statement -2 The determinant |{:(1,3,-1),(-1,-2,k),(1,4,1):}| ne0, "for"" " kne3.

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 …..