Abstract: This chapter discusses mathematical preliminaries and deals with the basic concepts of matrices, determinants, and their applications in linear systems of equations. It provides an introduction to a matrix; defines a matrix and a determinant; explains what they are all about, how they are presented, and how do they work; and lists out the important properties of a determinant. Some major and important operations with matrices are explained—addition and multiplication. All these operations are elucidated with examples for better illustration. The rank of a matrix is also described. In a sense, rank serves as a measure of the singularity of a matrix. Various theorems are included to conclude that the rank of a matrix is the maximum number of its linearly independent column vectors (or row vectors). The chapter outlines the systems of linear equations, in which both the homogeneous cases and nonhomogeneous cases are explained in brief.
Publication Year: 2007
Publication Date: 2007-01-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
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Cited By Count: 1
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