Introduction to Linear Algebra (5th Edition)

Description:

Build a powerful mathematical foundation with Introduction to Linear Algebra. This 5th Edition is specifically written to help students transition from the “how-to” of row reduction to the “why” of abstract vector spaces. It is an “easy-to-read” yet rigorous guide that is essential for anyone pursuing careers in engineering, physics, or modern data science.

Why This Textbook is a Student Favorite:

• Clear Transitions: It moves smoothly from concrete systems of equations to abstract concepts like linear transformations and eigenvalues.

• Applied Examples: Features numerous applications in areas such as differential equations, electrical networks, and least squares approximations.

• Early Introduction to Eigenvalues: Unlike other texts, it introduces eigenvalues and eigenvectors early enough to allow for deep exploration of their importance in various fields.

• Pedagogical Support: Includes a wealth of exercises, from computational drills to more challenging theoretical proofs.

Key Topics Covered:

• Systems of Linear Equations and Matrices.

• Vector Spaces and Subspaces.

• Determinants and their properties.

• Eigenvalues, Eigenvectors, and Diagonalization.

• Orthogonality and the Gram-Schmidt Process.

• Linear Transformations and their Matrix Representations.

Key Specifications:

• ISBN-10: 0201658593

• Authors: Lee W. Johnson, Ronald D. Riess, Jimmy T. Arnold

• Publisher: Pearson / Addison-Wesley

• Edition: 5th Edition

• Format: Physical Paperback / Hardcover