Linear Algebra

Vectors

• Subspace
• Vector Line
• Affine Function
• Euclidean Distance
• Orthogonality
• Euclidean Projection
• Cauchy-Schwartz Inequality

Linear Functions

• Vector Function
• Map
• Visualizing Data by Projection
• Regression Model for Vector
• Vector Gradient
• First Order Taylor Approximation
• Hyperplane

Norms and distance:

• Vector Norm
• CS Inequality
• Vector’s Correlation

Clustering:

• chapter 4

Linear independence:

• Vector Linear Independence
• Basis
• Orthonormal Vector
• Orthonormality
• Fourier Transform
  • Complex Vector
• Gram-Schmidt Algorithm

Matrix

Fundamental of Linear Algebra

Linear System of Equations

Least Square

Singular Value Decomposition

Low-rank Approximation

Principal Component Analysis

Linear Dynamical Systems