Showing Affine maps are combinations.

Asked Sep 24 '19 at 05:04

Active Sep 30 '19 at 21:16

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How do you show that an affine map can be written as sum of a linear transformation and a translation by a vector?

edited Sep 30 '19 at 21:16

Paul Frost

asked Sep 24 '19 at 05:04

1

Isn't that the definition of an affine map? What's your definition? – Arthur Sep 24 '19 at 05:09
An affine transformation is any transformation f:U→V for which, if ∑λi=1, f(∑λixi)=∑λif(xi) for all sets of vectors xi∈U. – Sep 24 '19 at 05:16
2

Ok, fair enough. What have you tried? Where are you stuck? – Arthur Sep 24 '19 at 05:37

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