1. Prove that if T1: V → W and T2: W →U are isomorphisms, then the function T2 o T1: V → U is also an isomorphism. 2. We write V ~ W and say "V is isomorphic to W" if there is an isomorphism of vector...

Extracted text: 1. Prove that if T1: V → W and T2: W →U are isomorphisms, then the function T2 o T1: V → U is also an isomorphism. 2. We write V ~ W and say "V is isomorphic to W" if there is an isomorphism of vector spaces T: V → W. Prove that - is an equivalence relation. (You will want to use the above "fun facts" and problem 1.)