Exercises in Linear Algebra

This is a book of exercises in Linear Algebra. Through a systematic detailed discussion of 200 solved exercises, important concepts and topics are reviewed. The student is led to make a systematic review of topics from the basics to more advanced material, with emphasis on points that often cause the greatest difficulties. The solved exercises are followed by an additional 200 proposed exercises (with answers), thus guiding the student to a systematic consolidation of all topics.

The contents follow closely the majority of the introductory courses of Linear Algebra. We consider in particular systems of linear equations, matrices, determinants, vector spaces, linear transformations, inner products, norms, eigenvalues and eigenvectors. The variety of exercises allows the adjustment to different levels in each topic.

Contents:

• Matrices and Vectors
• Determinants
• Vector Spaces
• Linear Transformations
• Inner Products and Norms
• Eigenvalues and Eigenvectors

Readership: Undergraduates studying linear algebra.
Key Features:

• The content follows closely the majority of the introductory courses of Linear Algebra, for example in degrees of Engineering, Physics, Economics and Mathematics
• The variety of exercises allows the adjustment to various levels in each topic
• For each topic there are solved exercises and proposed exercises, always with the corresponding solutions. The book contains 400 exercises, of which 200 are solved