Hi so I was given a packet of proofs, I should solve and know and understand as a pre-req for Linear Algebra 2
But I got stuck on this one, I even read the section of the text that I have on isomorphism and still can't do this one.
(a) prove the identity map is an isomorphism (i.e., that it's linear and bijective).
(b) isomorphisms are bijective. bijective maps have inverses. prove if a linear map T has an inverse T-1, that T-1 is linear.
(c) prove that the composition of two linear isomorphisms is again a linear isomorphism.
let me know if you have trouble with these.
Dec 11th 2012, 08:29 PM
Re: Proof isomorphism
I just went over all the material I am supposed to know, and I don't see a single thing about "identity map" or "bijective" or even just "map"