Class XII The system of equations, x + y + z = 1, 3 x + 6 y + z = 8, ααx + 2 y + 3z = 1 has a unique solution for all rational α ααnot equal to 0 all integral α all real α If A and B are two matrices such that A + B and AB are both defined, then A and B can be any matrices number of columns of A = number of ros of B. A, B are square matrices of same order A, B are square matrices not necessarily of same order The system of equations, 3 x + y – z = 0, 5 x + 2y – 3z = 2, 15 x + 6 y – 9 z = 5 has two distinct solutions no solution infinitely many solutions. a unique solution The system of equations,x + y = 2 and 2x + 2y = 3 has infinitely many solutions no solution a unique solution finitely many solutions The equations2x + 3y = 7, 14 x + 21 y = 49 has infinitely many solutions finitely many solutions. a unique solution no solution Do you really want to submit this quiz? Cancel Submit Quiz