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Math Help - Imf=Kerf

  1. #1
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    Imf=Kerf

    May you help me please, with an example of a vector space V and a linear mapping f:V->V , such that Imf=Kerf?
    Thank you in advance.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Re: Imf=Kerf

    Quote Originally Posted by jojo7777777 View Post
    May you help me please, with an example of a vector space V and a linear mapping f:V->V , such that Imf=Kerf?
    Thank you in advance.
    For example, f:\mathbb{R}^2\to \mathbb{R}^2 defined by f(x_1,x_2)=(0,x_1).
    Last edited by FernandoRevilla; November 11th 2012 at 03:23 AM.
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