Linear Algebra

Chapter 1

1. 03 Jan 22 Geometry of Linear Equations & Matrix Multiplications Strang · Chapter 1 Strang

Chapter 2

1. 08 Jan 22 Elimination & Permutation with Matrices Strang · Chapter 2 Strang

Chapter 3

1. 12 Jan 22 Inverse of a Matrix & Factorization into $A=LU$ Strang · Chapter 3 Strang

Chapter 4

1. 17 Jan 22 Vector Space and Subspace Strang · Chapter 4 Strang

Chapter 5

1. 20 Jan 22 Algorithm for solving $Ax=0$ Strang · Chapter 5 Strang

Chapter 6

1. 25 Jan 22 Algorithm for solving $Ax=b$ Strang · Chapter 6 Strang

Chapter 7

1. 30 Jan 22 Matrix Independence, Span, Basis & Dimension Strang · Chapter 7 Strang

Chapter 8

1. 15 Mar 22 Four Fundamental Subspaces Strang · Chapter 8 Strang

Chapter 9

1. 17 Mar 22 Matrix Spaces Strang · Chapter 9 Strang

Chapter 10

1. 21 Mar 22 Graphs, Networks and Incidence Matrices Strang · Chapter 10 Strang

Chapter 11

1. 23 Mar 22 Orthogonal Vectors and Orthogonal Subspaces Strang · Chapter 11 Strang

Chapter 12

1. 26 Mar 22 Projection of a Matrix Strang · Chapter 12 Strang

Chapter 13

1. 30 Mar 22 Projection Matrices and Least Squares Strang · Chapter 13 Strang

Chapter 14

1. 02 Apr 22 Orthonormal Vectors, Orthogonal Matrices and Gram-Schmidt Method Strang · Chapter 14 Strang

Chapter 15

1. 05 Apr 22 Determinant Strang · Chapter 15 Strang

Chapter 16

1. 07 Apr 22 Determinant and Cofactors Strang · Chapter 16 Strang

Chapter 17

1. 10 Apr 22 Formula for $A^{-1}$ and Cramer's Rule Strang · Chapter 17 Strang

Chapter 18

1. 14 Apr 22 Eigenvalues and Eigenvectors Strang · Chapter 18 Strang

Chapter 19

1. 17 Apr 22 Diagonalization and Powers of a Matrix Strang · Chapter 19 Strang

Chapter 20

1. 20 Apr 22 Differential Equations and Matrix Exponentials Strang · Chapter 20 Strang

Chapter 21

1. 22 Apr 22 Markov Matrices and Fourier Series Strang · Chapter 21 Strang

Chapter 22

1. 26 Apr 22 Symmetric Matrices and Positive Definiteness Strang · Chapter 22 Strang

Chapter 23

1. 29 Apr 22 Complex Matrices and Fourier Transform Strang · Chapter 23 Strang

Chapter 24

1. 02 May 22 Positive Definite Matrices Strang · Chapter 24 Strang

Chapter 25

1. 06 May 22 Similar Matrices Strang · Chapter 25 Strang

Chapter 26

1. 09 May 22 Singular Value Decomposition Strang · Chapter 26 Strang

Chapter 27

1. 12 May 22 Linear Transformations, Change of Basis and Image Compression Strang · Chapter 27 Strang

Chapter 28

1. 15 May 22 Left, Right and Pseudo Inverses Strang · Chapter 28 Strang