Stage 37 · Beyond (Optional)
37.2.2 Linear Combinations and a Basis
37.2 First Steps in Linear Algebra: Vectors, Matrices, and Determinants
Point 2 of 6
37.2.2 Linear Combinations and a Basis
Core ideaA few basic arrows build the whole space, and any vector can be written as their linear combination Σcᵢvᵢ.
Module goal. Express direction and transformation with vectors and matrices, understand linear transformations, determinants, and solving systems of equations, and lay the groundwork for higher dimensions and abstract structures.