‹‹ All zyBooks

Linear Algebra


  • Systems of Linear Equations
  • Determinants
  • Euclidean Vector Spaces
  • Matrix Algebra
  • General Vector Spaces
  • Linear Transformations
  • Eigenvalues and Eigenvectors
  • Inner Product Spaces and Orthogonality

Complete Table of Contents


  • Exceptionally interactive introduction to linear algebra and matrix theory
  • Hundreds of participation activities such as question sets and animations
  • 250+ end-of-section exercises
  • Dozens of applications connect key concepts in linear algebra to real-world examples in Physics, Chemistry, Circuits, and more

The zyBooks Approach

An exceptionally interactive introduction to linear algebra and matrix theory. This zyBook provides a solid introduction to linear algebra with a focus on computation as a tool to develop the intuition necessary to understand and prove the subject’s main ideas. Numerous animations help the learner visualize key concepts. Since many real-world phenomena can be modeled using linear equations, select applications from physics, chemistry, engineering, and social sciences are introduced to reinforce conceptual understanding of the material. Learning questions engage students and walk them through concepts incrementally. Explanations are given for both correct and incorrect answers, which break down common misconceptions and further enable learning. End-of-section exercises provide students the opportunity to practice techniques introduced in the text and prove additional properties and theorems.

This zyBook replaces a traditional textbook. The modular approach taken by the authors allows instructors to rearrange or combine sections with other zyBooks, such as Algebra, Discrete Math, and Calculus.