Exercises of Matrices and Linear Algebra E-Book

Simone Malacrida

• Herausgeber: BookRix
• Kategorie: Wissenschaft und neue Technologien
• Sprache: Englisch
• Veröffentlichungsjahr: 2023

Beschreibung

In this book, exercises are carried out regarding the following mathematical topics: matrices and matrix calculus linear algebra diagonalization of matrices and canonical bases. Initial theoretical hints are also presented to make the performance of the exercises understood.

Leseprobe

Simone Malacrida

Exercises of Matrices and Linear Algebra

BookRix GmbH & Co. KG81371 Munich

Table of Contents

Table of Contents

“Exercises of Matrices and Linear Algebra”

INTRODUCTION

THEORETICAL OUTLINE

EXERCISES

“Exercises of Matrices and Linear Algebra”

“Exercises of Matrices and Linear Algebra”

SIMONE MALACRIDA

In this book, exercises are carried out regarding the following mathematical topics:

matrices and matrix calculus

linear algebra

diagonalization of matrices and canonical bases.

Initial theoretical hints are also presented to make the performance of the exercises understood.

Simone Malacrida (1977)

Engineer and writer, has worked on research, finance, energy policy and industrial plants.

ANALYTICAL INDEX

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INTRODUCTION

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I – THEORETICAL OUTLINE

Matrix definitions

Operations and properties

Matrix calculation

Linear algebra

Diagonalizable matrices and canonical forms

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II – EXERCISES

Exercise 1 _

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise 8

Exercise 9

Exercise 10

Exercise 11

Exercise 12

Exercise 13

Exercise 14

Exercise 15

Exercise 16

Exercise 17

Exercise 18

Exercise 19

Exercise 20

Exercise 21

Exercise 22

Exercise 23

Exercise 24

Exercise 25

Exercise 26

Exercise 27

Exercise 28

Exercise 29

Exercise 30

Exercise 31

INTRODUCTION

INTRODUCTION

In this workbook, some examples of calculation related to matrices and matrix calculus are carried out.

Furthermore, the main theorems used in this discipline are presented.

Matrices are not simply extensions of vectors, but have peculiar properties which make them suitable for the description of complex linear systems and for the characterization of particular topological spaces.

Therefore, their role is central to the development of geometry and advanced mathematical analysis.

In order to understand in more detail what is presented in the resolution of the exercises, the theoretical reference context is recalled in the first chapter.

What is presented in this workbook is generally addressed in university-level geometry courses, even if the concept of a matrix is usually already introduced during high school.

I