Standard basis
In mathematics, the standard basis (also called natural basis or canonical basis) of a coordinate vector space (such as R n {\displaystyle \mathbb {R} ^{n}} or C n {\displaystyle \mathbb {C} ^{n}} ) is the set of vectors, each of whose components are all zero, except one that equals 1. For example, in the case of the Euclidean plane R 2 {\displaystyle \mathbb {R} ^{2}} formed by the pairs (x, y) of real numbers, the standard basis is formed by the vectors e x = ( 1 , 0 ) , e y = ( 0 , 1 ) .