[" The set of equations "],[lambda x-y+(cos theta)z=0,3x+y+2z=0],[(cos theta)x+y+2z=0;0<=theta<2 pi" has "],[" non-trivial solution(s) "]

the set of equations lambdax-y+(cos theta) z=0,3x+y+2z=0 , (cos theta) x+y+2z=0 , theta le 0 lt 2 pi has non-trivial solution (s)

the set of equations lambdax-y+(cos theta) z=0,3x+y+2z=0 , (cos theta) x+y+2z=0 , theta le 0 lt 2 pi has non-trivial solution (s)

the set of equations lambdax-y+(cos theta) z=0,3x+y+2z=0 (cos theta) x+y+2z=0 , 0 le theta lt 2 pi has non-trivial solution (s)

the set of equations lambdax-y+(cos theta) z=0,3x+y+2z=0 (cos theta) x+y+2z=0 , 0 le theta lt 2 pi has non-trivial solution (s)

the set of equations lambdax-y+(cos theta) z=0,3x+y+2z=0 (cos theta) x+y+2z=0 ,0 le 0 lt 2 pi has non-trivial solution (s)

If 0lt= thetalt=pi and the system of equations x+(sin theta)y- (costheta) z =0, (cos theta ) x-y+z=0, (sin theta) x+y-z=0 has a non -trivial solution then theta is

The system of equations (sin 3 theta) x - y+z=0,(cos 2 theta)x+4y+3z=0, 2x+7y+7z=0 has non trivial solutions if

If 0 lt theta lt pi and the system of equations (sin theta) x + y + z = 0 x + (cos theta) y + z = 0 (sin theta) x + (cos theta) y + z = 0 has a non-trivial solution, then theta =