DeBonis M. Introduction to Linear Algebra....App and Theory 2022

Textbook in PDF format

Introduction to Linear Algebra: Computation, Application, and Theory is designed for students who have never been exposed to the topics in a linear algebra course. The text is ?lled with interesting and diverse application sections but is also a theoretical text which aims to train students to do succinct computation in a knowledgeable way. After completing the course with this text, the student will not only know the best and shortest way to do linear algebraic computations but will also know why such computations are both e?ective and successful.
Preface
Examples ofVectorSpaces
MatricesandLinearSystems
VectorSpaces
Linear Transformations
Inner ProductSpaces
Applications inDataAnalytics
QuadraticForms
Appendix A. Regular Matrices
Appendix B. Rotations andReflectionsinTwoDimensions
Appendix C. AnswerstoSelectedExercises