Linear Algebra
An Introduction to Linear Algebra for Pre-Calculus Students
By
Tamara Anthony Carter
Adjunct Professor of Mathematics, University of North Texas
Richard A. Tapia
Noah Harding Professor, Computational and Applied Mathematics
Director, Center for Excellence and Equity in Education
Anne Papakonstantinou
Director, Rice University School Mathematics Project
About Book:
This book is an introduction to linear algebra for pre-calculus students. It is a stand-
alone unit in the sense that no prior knowledge of matrices is assumed. Students with
experience in general mathematics, up to and including Algebra I, should be able to
comprehend the material. However, most students have not had experience with the
topics in the latter chapters, so the pace of the course should allow for the students to
spend extra time with these chapters. We begin with chapters that explain the matrix
operations of addition, subtraction, scalar multiplication, and matrix multiplication.
These topics are covered in most pre-calculus texts that are currently in use. This
unit also allows the students to explore the notions of inverse, determinant, and
consistent and inconsistent systems; these topics are covered in some pre-calculus text
books.

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