For each of the following cases, find the transformation matrix T from {e1,e2,e3} to {e'1,e'2,e'3}:
a.e'₁=e₁+3e₂-4e₃, e'₂=2e₁-e₂+5e₃,e'₃=4e₁+5e₂+3e₃.
b.e₁=e'₁+e'₂+3e'₃,e₂=2e'₁-e'₂+ 4e₃,e₃=3e'₁+5e'₃.