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I am trying to find a real life inverse linear transform which can be used to motivate students. Does anyone have an example or two? I am looking for an example which will have a real impact. Thanks in advance.

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How about the rotation in $\mathbb{R}^2$ or $\mathbb{R}^3$? It is a nice geometric example. –  Dennis Gulko Oct 17 '12 at 16:38
    
Image obtained from pinhole camera, is composition of projection ${\mathbb{R}}^3 \rightarrow {\mathbb{R}}^2$ and linear transformation –  M. Strochyk Oct 17 '12 at 16:48
    
Possible duplicate of math.stackexchange.com/questions/155116/… –  Inquest Oct 17 '12 at 20:12
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