[" 6.Find the conditions on "a,b,c" for which the given system "],[-2x+y+z=a],[x-2y+z=b],[x+y-2z=c]

The system of equations -2x+y+z=a x-2y+z=b x+y-2z=c has

The system of equations -2x+y+z=a x-2y+z=b x+y-2z=c has

The system of equations -2x+y+z=a x-2y+z=b x+y-2z=c has

The system of equations -2x+y+z=a,x-2y+z=b,x+y-2z=c is consistent if

The System of equation -2x-y+z=a,x-2y+z=b,x+y-2z=c is inconsistent if

If x = a , y = b, z = c is the solution of the system of simultaneous linear equations x + y + z = 4, x- y + z =2, x + 2y + 2z =1, then ab + bc + ca =

If x =a, y=b, z=c is a solution of the system of linear equations x + 8y + 7z =0, 9 x + 2y + 3z =0, x + y+z=0 such that point (a,b,c ) lies on the plane x + 2y + z=6, then 2a+ b+c equals

If x =a, y=b, z=c is a solution of the system of linear equations x + 8y + 7z =0, 9 x + 2y + 3z =0, x + y+z=0 such that point (a,b,c ) lies on the plane x + 2y + z=6, then 2a+ b+c equals

Consider the system of equation x+2y-3z=a , 2x+6y-11z=b , x-2y+7c then

prove that abs[[a,b,c],[a+2x,b+2y,c+2z],[x,y,z]]=0