In linear algebra, a basis is a set of vectors in a vector space that satisfies two conditions: linear independence and spanning property). A set of vectors is linearly independent if none of the vectors in the set can be expressed as a linear combination of the others. The spanning property means that every vector in the vector space can be expressed as a linear combination of the basis vectors. In other words, a basis is a minimal set of vectors that can be used to describe all the vectors in the vector space. The coefficients of the linear combination of the basis vectors are called components or coordinates of the vector with respect to the basis). A basis is unique for a given vector space, and it can be used to define the dimension of the vector space, which is the number of vectors in the basis.