1.1 The Geometry and Algebra of Vectors
1.2 Length and Angle: The Dot Product
2.1 Introduction to Systems of Linear Equations
2.2 Solving a System of Linear Equations
2.3 Spanning Sets and Linear Independence
3.2 Matrix Algebra (Suplement)
4.1 Eigenvalues and Eigenvectors in R^2
4.2a Introduction to Determinants
4.3 Eigenvalues and Eigenvectors in R^n
4.4 Similarity and Diagonalization
5.1 Orthogonal Sets and Basis. Orthogonal Matrices
5.2 Orthogonal Complements and Orthogonal Projections
5.3 The Gram-Schmidt Process and the QR Factorization
5.4 Orthogonal Diagonalization of Symmetric Matrices