Linear Functions of vector arguments

Such functions can be regarded as vector functions. Linear vector functions, also known as linear operators, are of great importance in linear algebra and it's applications. We can write down the general representation of a linear form L(x) defined on an n-dimensional space K_n. Let e1, e2, …, en be and arbitrary basis of the space know, and denote the quantity L(e_k) by l_k (k 1,2,…,n). A morphism A A(x) of a linear space X is another linear space Y over the same filed k.