In mathematics, a set B of vectors in a vector space V is called a basis if every element of V may be written in a unique way as a finite linear combination of elements of B. The coefficients of this linear combination are referred to as components or coordinates of the vector with respect to B. The elements of a basis are called basis vectors.
Bibliography
“Basis (Linear Algebra).” 2022. Wikipedia, September. https://en.wikipedia.org/w/index.php?title=Basis_(linear_algebra)&oldid=1108991299.