Affine transformation and coordinates of maps

  • #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:

Answers and Replies

  • #2
WWGD
Science Advisor
Gold Member
2019 Award
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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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