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Math Help - Linear Algebra help

  1. #1
    Super Member
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    Linear Algebra help

    This is the linear transformation im working with:

    T(x,y,z) = x - 3y + 2z

    I'm asked to find a basis for the kernel of T.
    I'm also asked what are dim(ker(T)) and dim(Im(T)).

    I don't have a clue how to do either. Any advice? Thanks.
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  2. #2
    MHF Contributor
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    You should have definitions. What's a 'kernel'? Something about mapping to zero should come to mind.

    You're not in Algebra I any more. Rote memorization of techniques will not help you. You must begin to have a new vision of rigor of thought, rather than rigor of pencil.
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