Interactive Linear Algebra

Master the Mathematics Behind AI & Data Science

A comprehensive interactive learning platform by Zeeshan Modi

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Why This Platform?

Linear algebra is the backbone of modern AI, machine learning, and data science. This interactive platform helps you build intuition through hands-on examples, visual explanations, and real-world applications.

Interactive Learning

Visualize concepts with interactive examples and AI-powered explanations

AI Applications

Connect every concept to real-world AI and machine learning applications

Progressive Learning

Structured curriculum from basics to advanced topics

Learning Path

Follow this structured path to master linear algebra from fundamentals to advanced applications

Part 1: Vectors

The Language of Space

  • • Vector basics and basis vectors
  • • Unit vectors and normalization
  • • Dot product and similarity
  • • Projections and orthogonality
  • • AI applications
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Part 2: Matrices

Transforming Space

  • • Matrix operations
  • • Linear transformations
  • • Matrix multiplication intuition
  • • Inverse matrices
  • • Neural network connections

Part 3: Eigenvalues

Principal Components

  • • Eigenvalues and eigenvectors
  • • Diagonalization
  • • PCA and dimensionality reduction
  • • Spectral analysis
  • • Data science applications

Part 4: Vector Spaces

Abstract Structures

  • • Vector space axioms
  • • Linear independence
  • • Basis and dimension
  • • Span and subspaces
  • • Functional analysis basics

Part 5: SVD

The Swiss Army Knife

  • • Singular Value Decomposition
  • • Matrix factorization
  • • Image compression
  • • Recommender systems
  • • Latent semantic analysis

Part 6: Applications

Real-World Projects

  • • Machine learning algorithms
  • • Computer vision
  • • Natural language processing
  • • Graph algorithms
  • • Optimization techniques