Contents:

ch 1 Linear Equations in Linear Algebra
ch 2 Matrix Algebra
ch 3 Determinants
ch 4 Vector Spaces
ch 5 Eigenvalues and Eigenvectors
ch 6 Orthogonality and Least Squares
ch 7 Summetric Matrices and Quadratic Forms
ch 8 The Geometry of Vector Spaces
ch 9 Optimization (Online)
ch 10 Finite-State Markov Chains (Online)

Appendix A Uniqueness of the Reduced Echelon Form
Appendix B Complex Numbers