Serves as a base hub for axioms, closure properties, and key theorems that define vector spaces, as well as span, basis, and related topics. # 🧭 Index - [[Basis]] - Defines a minimal set of vectors that spans a vector space - [[Empty Set]] - Outlines the properties and role of the empty set. - [[Linear Independence & Dependence]] - Explains when vectors are independent versus redundant. - [[Sets]] - Covers basic set definitions, notation, operations, and relationships - [[Span]] - Describes how linear combinations of vectors generate subspaces of a vector space - [[Standard Basis]] - Introduces the canonical basis vectors in $\mathbb{R}^n$ - [[Subsets]] - Details how subsets relate to larger sets, including notation and properties - [[Subspace]] - Defines subspaces of vector spaces and the conditions required - [[Unit Vector]] - Explains vectors of length 1 and their role - [[Vector Addition & Scalar Multiplication]] - Describes the two fundamental operations that define the structure of vector spaces - [[Vector Equations]] - Introduces equations expressed in vector form and their applications in systems of equations - [[Vector Spaces]] - Serves as the central hub for vector space theory, including axioms, closure, span, and basis