Answer:
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Step-by-step explanation:
A linear transformation T:U→V is a function that carries the elements of the vector space U (Domain) to the vector space V(codomain). Linear Transformation has two additional properties and these are:
[tex]T(u_1+u_2)= T(u_1)+ T(u_2) for\ all\ u\ belonging\ U[/tex]
[tex]T(\alpha u)= \alpha T(u) for\ all\ u\ belonging\ C[/tex]
These are two defining condition are in the definition of the linear transformation.
