## Introduction

Matrices

By an m x n matrix we mean an array of m x n elements, for example, ak (i = 1, ..., m; k = 1, ..., n) arranged in a rectangular form:

The element akk is called the (i, k)-element (entry or component). The notation for matrix is often abbreviated by writing A = (aik).

Each horizontal n-tuple in an m x n matrix is called a row of the matrix, and each vertical m-tuple is called a column of the matrix. The m x n matrix B, where bk = aki is called the transposed matrix of A and denoted as AT

An n x n matrix is called a square matrix of order n. A square matrix is called diagonal matrix if all its components are zero except for diagonal components a;;. If the components a;; of a diagonal matrix are all equal to 1, it is called a unit matrix or identity matrix and denoted by I.

A 1 x n matrix is called a row vector of dimension n, and m x 1 matrix is called a column vector of dimension m.

### Operation on Matrices

If both A and B are m x n matrices, then their sum is defined by A + B = (aik + bik). If A is an m x n matrix and B is an n x m matrix, their product is defined by

Was this article helpful?

This book will surely change your life due to the fact that after reading this book and following through with the steps that are laid out for you in a clear and concise form you will be earning as much as several thousand extra dollars a month, as you can see by the cover of the book we will be discussing how you can make cash for what is considered trash by many people, these are items that have value to many people that can be sold and help people who need these items most.

Get My Free Ebook

## Post a comment