Introduction
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Linear Algebra
01 Hello Linear Algebra
01 01 Systems of Linear Eq.
01 02 Row Reduction and Echelon Forms
01 03 Vector Equations
01 04 Matrix Equation
01 05 Solution Sets of Linear Systems
01 07 Linear Independence
01 08 Introduction to Linear Transformations
01 09 The Matrix of a Linear Transformation
01_02 Difference Equation
02_01_Matrix_Algebra
02_02_Inverse_Matrix
02_03 Characterizations of Invertible Matrices
02_04 Partitioned Matrices
02_05 Matrix Factorization
02_06 The Leontief Input-Output Model
02_07 Applications to Computer Graphics
02_08 Subspaces of R to the Power n
02_09 Dimension and Rank
04_01 Vector Spaces and Subspaces
04_02 Null Spaces, Column Spaces, and Linear Trnasformations
04_03 Linearly Independent Sets; Bases
04_04 Coordinate Systems
04_05 The Dimension of a Vector Space
04_06 Rank
04_07 Change of Basis
05_01 Eigenvectors and Eigenvalues
05_02 The Characteristic Equation
05_03 Diagonalization
05_04 Eigenvectors and Linear Transformations
05_05
05_06
06_01
06_summary
07_01
07_02
07_03
07_04_01
07_04_02
SVD
-Hermitian Matrix
-PositiveDefinite
Etc
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