Principles of Linear Algebra with Mathematica
Chapter 1 - An Introduction to Mathematica
Chapter 2 - Linear Systems of Equations and Matrices
Chapter 3 - Gauss-Jordan Elimination and Reduced Row Echelon Form
Chapter 4 - Applications of Linear Systems and Matrices
Chapter 5 - Determinants, Inverses, and Cramer's Rule
Chapter 6 - Basic Vector Algebra Topics
Chapter 7 - A Few Advanced Vector Algebra Topics
Chapter 8 - Independence, Basis, and Dimension for Subspaces of ℝn
Chapter 9 - Linear Maps from ℝn to ℝm
Chapter 10 - The Geometry of Linear and Affine Maps
Chapter 11 - Least-Squares Fits and Pseudoinverses
Chapter 12 - Eigenvalues and Eigenvectors