Exercises In Linear Algebra

by Luis Barreira, Claudia Valls

Overview

This is a book of exercises in Linear Algebra. Through a systematic detailed discussion of 200 solved exercises, important concepts and topics are reviewed. The student is led to make a systematic review of topics from the basics to more advanced material, with emphasis on points that often cause the greatest difficulties. The solved exercises are followed by an additional 200 proposed exercises (with answers), thus guiding the student to a systematic consolidation of all topics.The contents follow closely the majority of the introductory courses of Linear Algebra. We consider in particular systems of linear equations, matrices, determinants, vector spaces, linear transformations, inner products, norms, eigenvalues and eigenvectors. The variety of exercises allows the adjustment to different levels in each topic.

Product Details

ISBN-13:	9789813143036
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	06/24/2016
Pages:	232
Product dimensions:	6.10(w) x 9.00(h) x 0.80(d)

Table of Contents

Preface v

Notation vii

1 Matrices and Vectors 1

1.1 Solved Exercises 1

1.2 Proposed Exercises 33

2 Determinants 49

2.1 Solved Exercises 49

2.2 Proposed Exercises 65

3 Vector Spaces 73

3.1 Solved Exercises 73

3.2 Proposed Exercises 99

4 Linear Transformations 111

4.1 Solved Exercises 111

4.2 Proposed Exercises 134

5 Inner Products and Norms 141

5.1 Solved Exercises 141

5.2 Proposed Exercises 172

6 Eigenvalues and Eigenvectors 177

6.1 Solved Exercises 177

6.2 Proposed Exercises 210