EXERCISE . . Solve the following system of linear equations by matrix inversion method: (i) (ii) , (iii) (iv) x . If A = and B = , find the products AB and BA and hence solve the system of equations x .
A man is appointed in a job with a monthly salary of certain amount and a fixed amount of annual increment. If his salary was ` , per month at the end of the first month after years of service and ` , per month at the end of the first month after years of service, find his starting salary and his annual increment. (Use matrix inversion method to solve the problem.) . Four men and women can finish a piece of work jointly in days while men and women can finish the same work jointly in days.
Find the time taken by one man alone and that of one woman alone to finish the same work by using matrix inversion method. . The prices of three commodities A B and C are ` x y and z per units respectively. A person P purchases units of B and sells two units of A and units of C .
Person Q purchases units of C and sells units of A and one unit of B . Person R purchases one unit of A and sells unit of B and one unit of C . In the process, P Q and R earn ` , , ` , and ` , respectively. Find the prices per unit of A B and C .
(Use matrix inversion method to solve the problem.)