Prove something is affine?

Asked Apr 06 '13 at 14:00

Active Apr 06 '13 at 14:16

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For any subspace $K$ and any point $u$, prove $K+u$ is affine. Or if you have an affine set $V$ and point $u$, then prove $V-u$ is a subspace.

edited Apr 06 '13 at 14:16

asked Apr 06 '13 at 14:00

Anna Smith

1

how do you define those things? – Dominic Michaelis Apr 06 '13 at 14:11
A subspace is set of vectors that is closed under linear combinations. An affine set is a set of vectors that contains all affine combinations of its elements-affine combinations being any linear combination where multipliers sum to 1 – Anna Smith Apr 06 '13 at 15:15

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