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Computing Science
Mathematical Foundations
Calculus
Linear Algebra
Probability Theory
Information Theory
Statistics
Automatic Differentiation
Discrete Mathematics
Numerical Methods
Optimization Theory
Graph Theory Fundamentals
Theory of Computation
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Table of Contents
Vectors
Vector Basics
Linear Combination
Span
Linear Independence
Basis & Dimension
Matrices
Linear Transformations
Matrices & Basic Operations
Matrix Multiplication
Determinant
Inverse Matrix
Rank
Column Space
Null Space (Kernel)
Non-Square Matrices: Cross-Dimensional Linear Transformations
Norms, Dot Products, and Orthogonality
Vector Norms
Dot Product
Positive Definite Matrix
Eigendecomposition and Singular Value Decomposition
Eigenvectors & Eigenvalues
Matrix Diagonalization and Eigendecomposition
Singular Value Decomposition (SVD)
QR Decomposition
Matrix Calculus
Gradients and the Jacobian
Applications of Linear Algebra in ML
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