Exercises of Vectors and Vectorial Spaces

Exercises of Vectors and Vectorial Spaces

SIMONE MALACRIDA

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

vectors and vector operations

vector spaces

canonical, orthogonal, and orthonormal 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

Vector definition

Carrier operations

Vector spaces

Operations on vector spaces

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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 2 1

Exercise 22

Exercise 23

Exercise 24

Exercise 25

Exercise 26

INTRODUCTION

In this exercise book some examples of calculus related to vectors and vector spaces are carried out.

Furthermore, the main theorems used in this sector of geometry are presented.

Vectors allow us to generalize elementary geometry and lay the foundations for a more in-depth understanding of elements of abstract analysis.

The physical and technological applications of vectors are immeasurable, just think of any sector,