Linear Algebra
1.[Linear Algebra] Vector Matrix Notation
Elements in Linear Algebra - Vector Matrix Notation
2.[Linear Algebra] Vector Matrix Multiplication
Elements in Linear Algebra - Vector Matrix Multiplication
3.[Linear Algebra] Linear Equation
Linear system - Linear Equation
4.[Linear Algebra] Linear System, Identity Matrix
Linear System - Linear System, Identity Matrix
5.[Linear Algebra] Inverse Matrix
Linear System - Inverse Matrix
6.[Linear Algebra] Non Invertible Matrix
Linear System - Non Invertible Matrix
7.[Linear Algebra] Rectangular Matrix
Linear System - Rectangular Matrix
8.[Linear Algebra] Linear Combination, Vector Equation, Span
Linear Combination, Vector Equation, Span
9.[Linear Algebra] Geometric Span Vector Equation
Geometric Span Vector Equation
10.[Linear Algebra] Four Views of Matrix Multiplication
Four Views of Matrix Multiplication
11.[Linear Algebra] Linear Independence
Linear Independence
12.[Linear Algebra] Geometric Understanding of Linear Dependence
Geometric Understanding of Linear Dependence
13.[Linear Algebra] Subspace, Basis
Subspace, Basis
14.[Linear Algebra] Dimension, Rank
Dimension, Rank
15.[Linear Algebra] Linear Transformation
Linear Transformation
16.[Linear Algebra] Matrix of Linear Transformation
Linear Transformation - Matrix of Linear Transformation
17.[Linear Algebra] Linear Transformation in Neural Networks
Linear Transformation - Linear Transformation in Neural Networks
18.[Linear Algebra] Onto One-to-one
Linear Transformation - Onto One-to-one
19.[Linear Algebra] Inner Product
Least Squares - Inner Product
20.[Linear Algebra] Vector Norm, Orthogonal Vectors
Least Squares - Vector Norm, Orthogonal Vectors
21.[Linear Algebra] Least Squares Problem
Least Squares - Least Squares Problem
22.[Linear Algebra] Geometric Interpretation of Least Squares
Least Squares - Geometric Interpretation of Least Squares
23.[Linear Algebra] Normal Equation
Least Squares - Normal Equation
24.[Linear Algebra] Another Derivation of Normal Equation
Least Squares - Another Derivation of Normal Equation
25.[Linear Algebra] Normal Equation with Not Invertible Matrix
Least Squares - Normal Equation with Not Invertible Matrix
26.[Linear Algebra] Orthogonal to QR Factorization
Least Squares - Orthogonal and Orthonormal basis, Orthogonal Projection, Gram Schmidt Orthogonolization, QR Factorization