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Math Help - classic adjoint T*

  1. #1
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    classic adjoint T*

    Hi,
    Can you help me with this problem, please
    Let T: R^n -> R^n be defined by
    T(z1, z2, ... , zn) = (z2-z1, z3-z2, ... , z1-zn)
    What is T*, is T invertible and what are che characteristic and minimal polynomials of T?
    Thank you!
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  2. #2
    MHF Contributor

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    I recommend writing out the matrix corresponding to this for n=2 and 3. That should give you an idea of the pattern.
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  3. #3
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    classic adjoint T*

    Would you help me with n=3 for example. Thank you!
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  4. #4
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    classic adjoint T* again

    I still don't get it. Can you help me with n=3 for example. Thank you so much!

    Let T: R^n -> R^n be defined by
    T(z1, z2, ... , zn) = (z2-z1, z3-z2, ... , z1-zn)
    What is T*, is T invertible and what are che characteristic and minimal polynomials of T?
    Thank you!
    Follow Math Help Forum on Facebook and Google+

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