This text focuses on the primary topics in a first course in Linear Algebra. The author includes additional advanced topics related to data analysis, singular value decomposition, and connections to differential equations. This is a lab text that would lead a class through Linear Algebra using Mathematica® demonstrations and Mathematica® coding.
The book includes interesting examples embedded in the projects. Examples include the discussions of “Lights Out”, Nim, the Hill Cipher, and a variety of relevant data science projects.
The 2nd Edition contains:
- Additional Theorems and Problems for students to prove/disprove (these act as theory exercises at the end of most sections of the text)
- Additional sections that support Data Analytics techniques, such as Kronecker sums and products, and LU decomposition of the Vandermonde matrix
- Updated and expanded end-of-chapter projects
Instructors and students alike have enjoyed this popular book, as it offers the opportunity to add Mathematica® to the Linear Algebra course.
I would definitely use the book (specifically the projects at the end of each section) to motivate undergraduate research.—Nick Luke, North Carolina A&T State University.
Table of Contents:
1. Matrix Operations
2. Invertibility
3. Vector Spaces
4. Orthogonality
5. Matrix Decomposition with Applications
6. Applications to Differential Equations
About the Author :
Dr. Crista Arangala is Professor of Mathematics and Chair of the Department of Mathematics and Statistics at Elon University in North Carolina. She has been teaching and researching in a variety of fields, including inverse problems, applied partial differential equations, applied linear algebra, mathematical modeling, and service learning education. She runs a traveling science museum with her Elon University students in Kerala, India. Dr. Arangala was chosen to be a Fulbright Scholar in 2014 as a visiting lecturer at the University of Colombo where she continued her projects in inquiry learning in Linear Algebra and began working with a modeling team focusing on Dengue fever research. Dr. Arangala has published several textbooks that implore inquiry learning techniques, including Exploring Linear Algebra: Labs and Projects with MATLAB®, Mathematical Modeling: Branching Beyond Calculus, and Linear Algebra with Machine Learning and Data.
