Vektoriruumiit
Vektoriruumiit, also known as vector spaces, are fundamental algebraic structures in mathematics. A vector space is a set of objects, called vectors, which can be added together and multiplied by scalars, which are typically real or complex numbers. These operations must satisfy a specific set of axioms. The axioms ensure that vector addition is associative and commutative, that there exists an additive identity (the zero vector), and that every vector has an additive inverse. They also require that scalar multiplication distributes over vector addition and scalar addition, and that scalar multiplication is associative. Finally, there's an axiom stating that multiplying by the scalar 1 leaves the vector unchanged.
Examples of vector spaces include the familiar set of all 2D or 3D geometric vectors, the set