Mastering Linear Algebra: An Introduction with Applications

Take your math skills to a new level with linear algebra, which is used in everything from computer graphics to quantum mechanics.

• By This Professor
• 01: Linear Algebra: Powerful Transformations
• 02: Vectors: Describing Space and Motion
• 03: Linear Geometry: Dots and Crosses
• 04: Matrix Operations
• 05: Linear Transformations
• 06: Systems of Linear Equations
• 07: Reduced Row Echelon Form
• 08: Span and Linear Dependence
• 09: Subspaces: Special Subsets to Look For
• 10: Bases: Basic Building Blocks
• 11: Invertible Matrices: Undoing What You Did
• 12: The Invertible Matrix Theorem
• 13: Determinants: Numbers That Say a Lot
• 14: Eigenstuff: Revealing Hidden Structure
• 15: Eigenvectors and Eigenvalues: Geometry
• 16: Diagonalizability
• 17: Population Dynamics: Foxes and Rabbits
• 18: Differential Equations: New Applications
• 19: Orthogonality: Squaring Things Up
• 20: Markov Chains: Hopping Around
• 21: Multivariable Calculus: Derivative Matrix
• 22: Multilinear Regression: Least Squares
• 23: Singular Value Decomposition: So Cool
• 24: General Vector Spaces: More to Explore