O'Reilly logo

Algebra I: A Basic Course in Abstract Algebra by Rajendra Kumar Sharma, Sudesh Kumari Shah, Asha Gauri Shankar

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

Chapter 11

Matrices

In this chapter we shall study matrices in detail. Apart from studying el-ementary operations on matrices, namely addition and multiplication, to find the product and inverse of large order matrices, the technique of partitioning is explained. Properties of special types of matrices have been discussed. We end with a study of eigen values and eigen vectors of square matrices.

11.1 Matrix of Numbers

We begin by defining a matrix of numbers as follows:

Definition 11.1.    A m x n matrix A is a rectangular array of ran numbers arranged in m horizontal rows and n vertical columns:

 

images

 

Notation Matrices are generally denoted by ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required