Business Mathematics

CHAPTER 15

Matrix and Its Applications to Business

15.1  INTRODUCTION

This matrix theory was developed and introduced by British mathematician Arthur Caley in 1857.

15.2  DEFINITIONS AND NOTATIONS

In this section we are going to see variables definitions related to different form of matrix.

15.2.1  Matrix

An arrangement of numbers in the form of rows and columns is called MATRIX denoted by the capital alphabets like A, B, C etc.

Note: The numbers used in the matrix can be a real value or complex value, i.e., A = [a_ij]_{m × n} where a_ij refers to the element which lies at the intersection of ith row and jth column.

 

ith rows: 1, 2, ..., m; jth columns: 1, 2, ..., n

It indicates that A refers to a matrix which contains m rows and n columns where ...