question_answer 1)

Solve the system of equations using matrix method : 4x – 3y = 3; 3x – 5y = 7  

Answer:

The given system of equations can be expressed as AX = B, where                         = ?11  0       Therefore A is non-singular matrix so A?1 exists and given system has a unique solution.       A11 = (?1)1+1.?5 = ?5       A12 = (?1)1+2.3 = ?3;       A21 = (?1)2+1(?3) = 3;       A22 = (?1)2+2 .4 = 4       adj             Now AX = B                         On equation, we get