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

Find the values of a and b for which the system of equations x+y+z=3,x+2y+2z=6,x+9y+az=b will have (i) no solution (ii) unique solution (iii) infinitely many solution

For what values of p and q, the system of equations 2x+py+6z=8,x+2y+qz=5,x+y+3z=4 has (i) no solution (ii) a unique solution (iii) infinitely many solutions.

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.

Value of k for which system of equations kx + 2y = 5, 3x + y =1 has unique solution is

Find the value of k for which the system of equations kx - y = 2, 6x - 2y = 4 has infinitely many solutions

The value of k for which the system of equations kx+3y=1, 12x+ky=2 has no solution is………

Find the value of k for which the system k x+2y=5 3x+y=1 has (i) a unique solution, and (ii) no solution.

In vestigate the values of lambda and mu the system of linear equations 2x+3y+5z=9,7x+3y-5z=8, 2x+3y+ lambda z= mu , have (i) no solution (ii) a unique solution (iii) an infinite number of solutions.