Linear Algebra – 2nd edition

Authors

André Hensbergen
Delft Institute of Applied Mathematics, Faculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology, The Netherlands
Nikolaas Verhulst
Delft Institute of Applied Mathematics, Faculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology, The Netherlands
https://orcid.org/0000-0002-1631-0228

Keywords:

Linear Algebra for Bachelor Engineering Students

Synopsis

Educational Level: Bachelor

This book is suited for a standard linear algebra course for engineering students at a bachelor level. Except for some basic algebra skills generally taught in secondary education, no prior knowledge is expected.

The main concepts of linear algebra are introduced from a geometrical perspective. We start by introducing the basic concepts of vectors, lines, and planes. There follows a thorough treatment of standard subjects like systems of linear equations, matrix arithmetic, eigenvalues and eigenvectors, orthogonality etc. In the final chapters, more advanced topics like symmetric matrices and discrete dynamical systems are discussed.

Throughout the book, many interactive applets are inserted to give the student hands-on experience with linear algebra. Thanks to an ample selection of embedded exercises with individualized feedback, the book offers a stimulating learning environment for studying linear algebra!

This open interactive textbook was developed by a team of lecturers and developers from the Delft Institute of Applied Mathematics, Faculty of Electrical Engineering, Mathematics and Computer Science, from the TU Delft University of Technology.

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Published

November 21, 2025

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Details about this monograph

Publication date (01)

2025-11-21

How to Cite

Hensbergen, A., & Verhulst, N. (2025). Linear Algebra – 2nd edition. TU Delft OPEN Books. https://doi.org/10.59490/mt.241