Exercises of Matrices and Linear Algebra
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About this ebook
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
Simone Malacrida (1977) Ha lavorato nel settore della ricerca (ottica e nanotecnologie) e, in seguito, in quello industriale-impiantistico, in particolare nel Power, nell'Oil&Gas e nelle infrastrutture. E' interessato a problematiche finanziarie ed energetiche. Ha pubblicato un primo ciclo di 21 libri principali (10 divulgativi e didattici e 11 romanzi) + 91 manuali didattici derivati. Un secondo ciclo, sempre di 21 libri, è in corso di elaborazione e sviluppo.
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Exercises of Matrices and Linear Algebra - Simone Malacrida
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
––––––––
INTRODUCTION
––––––––
I – THEORETICAL OUTLINE
Matrix definitions
Operations and properties
Matrix calculation
Linear algebra
Diagonalizable matrices and canonical forms
––––––––
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
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