Linear Algebra I by Robert G. Petry, Fotini Labropulu
Linear Algebra I - Table of Contents
1. Linear Equations
2. Matrices
3. Determinants
4. Vectors
5. Lines and Planes
6. Linear Transformation
7. Subspaces of Rn
8. Eigenvalues and eigenvectors
9. Complex Numbers
What You Will Learn in Linear Algebra I
"Linear Algebra I" by Robert G. Petry and Fotini Labropulu is an undergraduate textbook designed to introduce students to the core ideas of "Linear Algebra" in a clear and organized way. The book is suitable for a first university course and focuses on building a strong foundation through careful explanations and logical progression. It balances theory and practice, helping students understand both how methods work and why they are important.
The text covers essential topics such as systems of linear equations, matrices, vector spaces, bases, dimension, and "Linear Transformations". Later chapters introduce eigenvalues and eigenvectors, connecting algebraic techniques with deeper structural ideas. Throughout the book, worked examples and exercises reinforce learning and support gradual skill development. The authors emphasize "Conceptual Understanding" alongside computational techniques, making the material accessible to beginners.
Written with students in mind, the book supports independent study as well as classroom use. Its structured approach and clear language make it a reliable resource for anyone starting linear algebra. Overall, "Linear Algebra I" serves as a solid introduction to "Vector Spaces", matrix methods, and fundamental algebraic thinking needed for further study in mathematics, science, and engineering.
Book Details & Specifications
Title:
Linear Algebra I by Robert G. Petry, Fotini Labropulu
Publisher:
Campion College and Luther College
Year:
2019
Pages:
584
Type:
PDF
Language:
English
ISBN-10 #:
N\A
ISBN-13 #:
N\A
License:
GNU
Amazon:
Amazon
About the Author: Robert G. Petry
The author
Robert G. Petry
"Robert G. Petry" is a mathematics professor associated with the "University of Regina", known for teaching "Linear Algebra" and developing clear, student-focused course materials. His work emphasizes structure, clarity, and strong foundations in undergraduate "Mathematics Education", helping students build confidence in core concepts. "Fotini Labropulu" is a professor of mathematics with expertise in "Applied Mathematics" and extensive teaching experience at the University of Regina. As a co-author of "Linear Algebra I", she contributes a practical and concept-driven approach, supporting accessible learning through well-organized content and carefully designed "Open Textbooks" for university students.
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