Let U and V be the vector space over the same field of scalars and T a map from U to V. Then prove that T is linear if T(au1 + u2) = aT(u1) +T(u2) for all u1,u2 belong to U and scalar a ?

Linear Transformation Important Question Solution:- 



Let U and V be the vector space over the same field of scalars and T a map from U to V. Then prove that T is linear if T(au1 + u2) = aT(u1) +T(u2) for all u1,u2 belong to U and scalar a

Solutions:- 




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