Linear Algebra

Linear Algebra Fundamentals

Understand the mathematics of vectors, matrices, and linear transformations that power modern data science and engineering.

Core Concepts Covered

  • βœ” Vector Arithmetic and Dot/Cross Products
  • βœ” Matrix Operations and Determinants
  • βœ” Solving Systems of Linear Equations
  • βœ” Eigenvalues and Eigenvectors
  • βœ” Linear Transformations and Basis Changes

Interactive Application

Each concept includes clear explanations, step-by-step examples, and guided practice with linked calculators for hands-on reinforcement.

Select a concept or jump directly into a calculator below to begin.

Foundational Linear Algebra 3 Foundations Active

Matrix Addition & Subtraction

Add or subtract two matrices of the same dimensions.

Tutorial Ready

Vector Addition & Subtraction

Add or subtract two vectors of any dimension.

Tutorial Ready

Scalar Multiplication

Multiply a vector by a scalar value.

Tutorial Ready