question_answer 1)

Solve the system of equations              

Answer:

Let       So 2X + 3Y + 10Z = 4       4X ? 6Y + 5Z =1       6X + 9Y ? 20Z = 2       The above system can be expressed as       AX = B, when A                   = 2(120 ? 45) ? 3(?80?30) + 10 (36 + 36)       = 150 + 330 + 720 = 1200 0       Therefore A is non-singular matrix so A?1 exists and given system has unique solution.       A11 = 75; A12 = 110; A13 = 72       A21 = 150; A22 = ?100; A23 = 0       A31 = 75; A32 = 30; A33 = ?24       Adj                         Now XY = B