1 Introduction to Vectors
2 Solving Linear Equations
3 Vector Spaces and Subspaces
4 Orthogonality
5 Determinants
6 Eigenvalues and Eigenvectors
7 The Singular Value Decomposition (SVD)
8 Linear Transformations
9 Complex Vectors and Matrices
10 Applications
11 Numerical Linear Algebra
12 Linear Algebra in Probability & Statistics