Exploring Linear Algebra

Labs and Projects with Mathematica ®

By: Crista Arangala

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eText | 26 February 2025 | Edition Number 2

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Published: 13th November 2014

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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.