If `a,b,c` are roots of `x^(3)-5x^(2)+x+1=0,` then system of linear equations `ax+y=1,by+z=1,cz+x=1` is

For what value of k, the system of linear equations x-3y+kz=0, 2x+y+3z=-1, 3x-2y+2z=1 has a unique solution? a) K=1 b)k!=1 c) K!=-1 d) K=0

The equations x+2y+3z=1 2x+y+3z=1 5x+5y+9z=4

The system of linear equations x+y+z =2, 2x+3y+2z = 5 2x +3y+ (a^(2)-1)z = a + 1

If alpha,beta are the roots of the equations ax^(2)+bx+c=0 then the roots of the equation a(2x+1)^(2)+b(2x+1)(x-1)+c(x-1)^(2)=0

If a,B and y are the roots of x^(3)+2x+1=0 then roots of equation (x+1)^(3)+2(x^(2)-1)(x-1)-(x-1)^(3)=0 are

For the system of equations 3x+y=1,x-2y=5 and x-y+3z+3=0, the value of z is

If a, b, c are all different, solve the system of equations x+y+z=1 ax+by+cz=lamda a^2x+b^2y+c^2z=lamda^2 using Cramer's rule.

The number of solutions of the system of equations: 2x+y-z=7x-3y+2z=1, is x+4y-3z=53(b)2 (c) 1 (d) 0