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Math Help - Proof isomorphism

  1. #1
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    Question Proof isomorphism ??

    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.

    Proof isomorphism-review.jpg

    I would really appreciate the Help
    Last edited by Livinginpeace; December 11th 2012 at 06:54 PM.
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  2. #2
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    Re: Proof isomorphism

    (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.
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  3. #3
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    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"

    is there any other way to prove it

    thank you
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  4. #4
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    Re: Proof isomorphism

    what is your definition of isomorphism?
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