For what value of t will the system tx+3y-z=1, x+2y+z=2, -tx+y+2z=-1 fail to have unique solution ?

For what values of k, the system of equations kx+y+z=1,x+ky+z=1,x+y+kz=1 have (i) unique solution (ii) more than one solution, (iii) no solution.

Solve the system : 2x+3y-z=0, x+y+z=0, 2x+y+2z=0 .

Solve the system x+3y-4z =0 3x-y+2z=0 4x+2y-2z=0

Find the value of k for which the equations kx-2y+z=1, x-2ky+z=-2,x-2y+kz=1 have (i) no solution (ii) unique solution (iii) infinitely many solution

Solve the system: x+3y-2z=0,2x-y+4z=0,x-11y+14z=0 .

The system of linear equations x+y+z =2, 2x+y-z=3, 3x+2y+kz= has a unique solution if

The system of equations x +2y+3z=1, x-y+4z=0, 2x+y+7z=1 has