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Chapter 1. Vectors, Matrices, and Systems of Linear Equations
Chapter 2. Linear Independence, Span, and Bases
Chapter 5. Inner Product Spaces, Orthogonal Projection, Least Squares, and Singular Value Decomposition
Matrices with Special Properties
Chapter 7. Unitary Similarity, Normal Matrices, and Spectral Theory
Chapter 8. Hermitian and Positive Definite Matrices
Chapter 9. Nonnegative Matrices and Stochastic Matrices
Chapter 12. Quadratic, Bilinear, and Sesquilinear Forms
Chapter 14. Matrix Equalities and Inequalities
Chapter 17. Singular Values and Singular Value Inequalities
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