Linear Algebra

Study of vectors, matrices, and linear transformations.

Practical Applications

Data Science and Machine Learning

Crunching Numbers

Linear algebra is essential in data science and machine learning. Huge datasets are often stored as matrices, and algorithms use linear algebra to find patterns.

  • Predicting Outcomes: Systems of equations help make predictions based on data.
  • Principal Component Analysis: This technique uses eigenvalues and eigenvectors to reduce data complexity.

Why It Matters

Every time you get a movie recommendation or see a face recognized in photos, linear algebra is at work behind the scenes.

Try It

  • Represent a dataset as a matrix and perform basic operations.
  • Use eigenvalues to reduce a dataset's dimensions.

Examples

  • Movie recommendation systems use matrix factorization.

  • Facial recognition algorithms use eigenfaces (eigenvectors of face images).