question_answer 1)

Solve the system of equations using matrix method             2x + y + z = 1; x ? 2y ? z =  

Answer:

The given system of equations can be expressed as       AX = B, where             and             = 2 (10 + 3) ? 1 (?5) + 1 (3 ? 0)        = 26 + 5 + 3 = 34       Therefore A is non-singular matrix so A?1 exists and given system has a unique solution.       A11 = 13; A12 = 5; A13 = 3       A21 = 8; A22 = ?10; A23 = ?6       A31 = 1; A32 = 3; A33 = ?5       adj                         Now                                     On equating, we get x = 1, y =