Welcome to Master Linear Algebra with Python! Linear algebra is the foundational mathematical language of artificial intelligence, machine learning, and computer vision. Every modern AI system—from simple linear regression to state-of-the-art Large Language Models (LLMs)—operates by multiplying high-dimensional coordinate matrices.
In this course, we bridge the gap between abstract mathematical formulas and concrete, highly optimized Python code using NumPy and SciPy.
Course Modules
- 1. Vectors — /blog/linear-algebra/01-vector
What We'll Cover
- Vectors & Spaces: Coordinates, magnitudes, dot products, and vector spaces.
- Matrices & Transformations: Linear transformations, projections, and matrix multiplication.
- Systems of Linear Equations: Row reduction, determinants, and matrix inverses.
- Eigenvalues & Eigenvectors: Diagonalization, spectral theory, and page rank algorithms.
- Singular Value Decomposition (SVD): Dimensionality reduction, PCA, and image compression.