Linear Algebra

Linear Algebra for AI & ML

In this section, we will cover the topics related to Linear Algebra for AI & ML.

Linear Algebra for AI & ML

This sheet contains all the topics that will be covered for Linear Algebra for AI & ML.

Below is the list of topics that will be covered in this section.

  • Vectors
  • Vector Space
  • Vector Addition & Multiplication
  • Orthogonal & Orthonormal Vectors
  • Linear Independence
  • Span
  • Basis
  • Matrix & Transpose
  • Matrix Multiplication
  • Square Matrix
  • Trace
  • Determinant
  • Inverse Matrix
  • Orthogonal Matrix
  • Diagonal Matrix
  • Eigenvalue & Eigenvector
  • Eigendecomposition
  • Spectral Decomposition
  • Singular Value Decomposition
  • Principal Component Analysis
  • Norms
  • Matrix Calculus
  • Equation of a Hyperplane

End of Section


Vector Fundamentals

Vector Fundamentals

Matrix Operations

Matrix Operations

Eigen Value Decomposition

Eigen Values, Eigen Vectors, & Eigen Value Decomposition

Principal Component Analysis

Principal Component Analysis

Singular Value Decomposition

Singular Value Decomposition

Vector & Matrix Calculus

Vector & Matrix Calculus

Vector Norms

Vector & Matrix Norms

Hyperplane

Equation of a Hyperplane