vektoritasoihin
Vektoritasoihin, known in English as vector spaces, are fundamental algebraic structures in mathematics. A vector space is a collection of objects called vectors, which can be added together and multiplied by scalars (numbers). These operations must satisfy certain axioms, ensuring consistency and predictable behavior. The axioms include properties like associativity and commutativity of vector addition, the existence of a zero vector, and the distributive properties of scalar multiplication over vector addition and scalar addition.
Examples of vector spaces include the familiar Euclidean spaces R^n, where vectors are n-tuples of real numbers.