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I Affine transformation and coordinates of maps

  1. May 13, 2017 #1
    Hi everyone!

    I'm having trouble with the following exercise:

    Let ##\mathrm {Aff}(ℝ)## be the vector space of the affine maps from ##ℝ## to ##ℝ##:
    $$φ_{a,b}:ℝ→ℝ$$ $$x→a x + b$$

    Find the contravariant and and covariant coordinate of the map:
    $$φ_{1,1}:ℝ→ℝ$$ $$x→x + 1$$ with respect to the bases ##\mathcal{B}:= \left\lbrace 2x,1 \right\rbrace ##

    Thank you for your help!

    ##\mathrm{H}Ψ=\mathrm{E}Ψ##
     
    Last edited: May 13, 2017
  2. jcsd
  3. May 13, 2017 #2

    WWGD

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    Science Advisor
    Gold Member

    Hi,
    Maybe if you define for us the co- and contra- variant cordinates, we may be better able to help you; we may know (of) them by different names.
     
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