Question

define homomorphism between two vector spaces U and V over F.​

Answer 1

Answer:

homomorphism sends a zero vector to a zero vector. to be a homomorphism. Part 1 is often used to check that a function is linear. ... Homomorphisms do not give any such correspondence; Example 1.2 shows that there is no such correspondence, and another example is the zero map between any two nontrivial spaces.