Linear Algebra Foundations

Created: 2019-02-14
Updated: 2019-02-14

A concise summary of the core concepts in linear algebra.

In the attached document I cover fundamental topics such as vectors, matrices, systems of linear equations, and transformations.

Understanding these concepts is essential for tackling a wide range of mathematical and real-world problems.

Content Summary

  • Vectors
    • Arithmetic
    • Magnitude
    • Parallel and orthogonal vectors
    • Vector projection
    • Basis vectors
    • Linear dependence and independence
  • Matrices
    • Arithmetic
    • Elementary operations
    • Elementary Matrix
    • Determinant
    • Laplace Formula
    • Decomposition methods