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Mastering Linear Algebra: An Introduction with Applications

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Overview

  • 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

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