This book is the ideal companion for all undergraduate students studying mathematics, as well as for foundational courses in engineering, natural sciences, and economics. It is especially suitable for preparing for assessment exams and basic foundational exams in the area of linear algebra.
Volume I
covers the following central topics:
- Matrices and Determinants
- Linear Systems of Equations
- Vector Spaces
- Linear Transformations
- Eigenvalues and Eigenvectors
The material is not presented in the traditional textbook format of definition, theorem, and proof. Instead, it can be learned and practiced through more than 600 exercises of varying difficulty levels. All exercises are worked out step by step, with clear explanations of the solution process and many practical calculation tips. A wide range of typical (exam-style) problems is included. At the end, 150 multiple-choice questions and 4 complete sample exams with detailed solutions give readers the opportunity to test their knowledge and consolidate the material.
This book is the ideal companion for undergraduate students studying mathematics, as well as for foundational courses in engineering, the natural sciences, and economics. It is especially suitable for preparing for placement tests and basic exams in linear algebra.
Volume I
covers the following central topics:
- Matrices and Determinants
- Systems of Linear Equations
- Vector Spaces
- Linear Transformations
- Eigenvalues and Eigenvectors
The material is not presented in the traditional textbook format of definitions, theorems, and proofs. Instead, it can be learned and practiced through more than 600 exercises of varying levels of difficulty. All exercises are worked out step by step, with clear explanations of the solution process and many practical calculation tips. A wide range of typical exam-style problems is included. At the end, 150 multiple-choice questions and 4 complete sample exams with detailed solutions give readers the opportunity to test their knowledge and consolidate the material.
This book is a translation of an original German edition. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation.
