The material is standard in that the subjects covered are Gaussian reduction, vector spaces, linear maps, determinants, and eigenvalues and eigenvectors. Another standard is book’s audience: sophomores or juniors, usually with a background of at least one semester of calculus. The help that it gives to students comes from taking a developmental approach — this book’s presentation emphasizes motivation and naturalness, using many examples as well as extensive and careful exercises.

- Chapter One: Linear Systems
- Chapter Two: Vector Spaces
- Chapter Three: Maps Between Spaces
- Chapter Four: Determinants
- Chapter Five: Similarity

## Course, tutorial Summary An introduction to Linear Algebra

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