(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Suppose f and g are isomorphisms from U to V. Prove of disprove each of the following statements:

a) The mapping f + g is an isomorphism from U to V.

2. Relevant equations

3. The attempt at a solution

I have no idea where to start.. do I need to show that f and g are 1-1 and onto?

Or do I go from something like f(u) + g(u) = (f+g)(u)?

Isn't that defined by a property of composition of function..?

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# Homework Help: Linnear Algebra Isomorphisms : prove that f + g is an isomorphism?

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