# Linear Transformations on Vector Spaces

- By: Scott Kaschner - Author / Amber Russell
- Publisher: PALNI
- Source: [Open Textbook Library](https://open.umn.edu/opentextbooks/textbooks/linear-transformations-on-vector-spaces)
- Licence: Attribution
- Online: https://pressbooks.palni.org/lineartransformationsonvectorspaces/
- PDF: https://palsave.hykucommons.org/downloads/c7c6c818-1085-4bc4-8713-6bdd5128e47d?locale=en
- LaTeX: https://palsave.hykucommons.org/concern/parent/b3eed969-aac8-4312-b20e-b9f90ef3b574/file_sets/db033bef-107a-46b4-a2e5-305968dca66f

Linear Transformations on Vector Spaces serves primarily as a textbook for undergraduate Linear Algebra courses. While standard Linear Algebra books begin by focusing on solving systems of linear equations and associated procedural skills, our book begins by developing a conceptual framework for the topic using the central objects, vector spaces and linear transformations. It covers the same concepts, skills, and, applications as conventional texts in a one-semester course, but students walk away with a much richer and more useful mastery of the topics. The book is structured to facilitate the implementation of the flipped classroom. The text features a continuous narrative to illuminate the big picture of the material and is written to help students develop their textbook reading skills. Also, there are “Explorations” scattered throughout each section; these are quick first examples intended for students to complete while reading before class meetings. Additional materials include section overview homework assignments and worksheets that can be used for in-class practice.