Linear algebra is the branch of mathematics concerning linear equations such as ax + by = c, linear functions, and their representations through matrices and vector spaces.
Basic Concepts
- Vectors: Objects that can be added together and multiplied by numbers, e.g., (3, 4).
- Matrices: Rectangular array of numbers arranged in rows and columns.
- Determinants: A special number that can be calculated from a square matrix.
- Systems of Linear Equations: Collections of two or more linear equations involving the same set of variables.
Why Study Linear Algebra?
Linear algebra is foundational to various fields such as computer science (graphics, machine learning), engineering, physics, statistics, and economics.
Interactive Learning
Try exploring some linear algebra problems! Enhance your skills with interactive challenges: