Linear Algebra: Ideas and Applications

A student-oriented approach to linear algebra, now in its Second Edition

Linear Algebra: Ideas and Applications, Second Edition is an introductory-level linear algebra text for students who require a clear understanding of key algebraic concepts and their applications in such fields as science, engineering, and computer science. The text utilizes a parallel structure that introduces abstract concepts such as linear transformations, eigenvalues, vector spaces, and orthogonality in tandem with computational skills, thereby demonstrating clear and immediate relations between theory and application.

The First Edition was well received, effectively meeting LACSG (Linear Algebra Curriculum Study Group) recommendations in its student-orientation, client-based applications, matrix orientation, and use of technology. The Second Edition, while maintaining the strengths of the original text, has been updated to include input from instructors, students, and other users, and to reflect recent developments in the field.

Important features of the Second Edition include:

• Gradual development of vector spaces
• Highly readable proofs
• Conceptual exercises
• Applications sections for self-study
• Early orthogonality option
• Numerous computer projects using MATLAB and Maple