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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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