question_answer 62)

Solve the following system of linear equations using matrix method 5x + 2y = 4; 7x + 3y = 5  

Answer:

The given system of equations can be expressed as       AX = B, where                                                         Therefore A is non-singular matrix so A?1 exists and given systems has a unique solution.             A11 = (?1)1+1 3 = 3             A12 = (?1)1+2 7 = ?7             A21 = (?1)2+1 2 = ?2             A22 = (?1)2+2 5 = 5       adj A =                         Now              On equating, we get x = 2, x = ?3.