The greatest value of `c in R` for which the system of linear equations `{:(x-cy-cz=0),(cx-y+cz=0),(cx+cy-z=0):}` has a non-trival solution, is:

The greatest value of c in R 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

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 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 greatest value of c in R for which the x-cy-cz=0 system of linear equations cx-y+cz,=0 has a non-trival solution,is:

If the system of linear equations x+2ay+az=0,x+3by+bz=0 and x+4cy+cz=0 has a non-zero solution,then a,b,c

If the system of linear equations x+2ay +az =0,x+3by+bz =0 and x+4cy + cz =0 has a non-zero solution, then a, b, c

If the system of linear equations x+2ay +az =0,x+3by+bz =0 and x+4cy + cz =0 has a non-zero solution, then a, b, c

Evaluate for what value of c for which the system of linear equations cx + 3y = 3, 12x + cy = 6 has no solution.