Mastering Linear Algebra: An Introduction with Applications

Offered By: The Great Courses Plus

Tags

Linear Algebra Courses Vectors Courses Matrix Operations Courses Systems of Linear Equations Courses Determinants Courses Singular Value Decomposition Courses Orthogonality Courses

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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