Mastering Linear Algebra: An Introduction with Applications
Offered By: The Great Courses Plus
Course Description
Overview
Take your math skills to a new level with linear algebra, which is used in everything from computer graphics to quantum mechanics.
Syllabus
- 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
Taught by
Francis Su
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