Inverse of a matrix
A Square matrix A is said to be singular, if A = 0
A square matrix A is said to be non – singular, if A Î 0
The adjoint of a square matrix A is defined as the transpose of a cofactor matrix. Adjoint of the matrix A is denoted by adj A
Let A be any non-singular matrix of order n. If there exists a square matrix B of order n such that AB = BA = I then, B is called the inverse of A and is denoted by A-1
Consider a system of n linear non – homogeneous equations with n unknowns x1 , x2, ......xn as
The cost of 4 kg onion, 3 kg wheat and 2 kg rice is `320. The cost of 2kg onion, 4 kg wheat and 6 kg rice is `560. The cost of 6 kg onion, 2 kg wheat and 3 kg rice is `380. Find the cost of each item per kg by matrix inversion method.