In linear algebra and representation theory, a basis is a set of vectors in a vector space that is linearly independent and spans the entire space. This means that any vector in the space can be expressed as a linear combination of the basis vectors. A basis provides a way to uniquely represent each element in the space, which is essential for understanding how representations operate within mathematical structures like groups or algebras.
congrats on reading the definition of Basis. now let's actually learn it.