Solve the system of the equations: `a x+b y+c z=d`, `a^2x+b^2y+c^2z=d^2`, `a^3x+b^3y+c^3z=d^3` .

If A = [(1,2,-3),(2,3,2),(3,-3,-4)] , find A^(-1) and hance solve the system of linear equations: x + 2y - 3z = -4, 2x + 3y + 2z = 2, 3x - 3y -4z = 11

Solve by matrix inversion method the following system of equations. x + y + z = 6, x + 2z = 7, 3x + y + z = 12

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

Solve by matrix inversion method the following system of equations. x + y - z + 3 = 0 , 2x + 3y + z = 2, 8y + 3z = 1

Solve by matrix inversion method the following system of equations. 8x + 4y + 3z = 18, 2x + y + z = 5, x + 2y + z = 5

Consider the system of linear equations in x , ya n dz : ""(sin3theta)x-y+z=0 , (cos2theta)x+4y+3z=0 , 2x+7y+7z=0 Which of the following can be the value of theta for which the system has a non-trivial solution (A) npi+(-1)^npi/6,AAn in Z (B) npi+(-1)^npi/3,AAn in Z (C) npi+(-1)^npi/9,AAn in Z (D)none of these

Solve system of linear equations , using matrix method x-y+2z=7 3x+ 4y-5z=-5 2x-y+3z=12