Exercises of Matrices and Linear Algebra

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