- #1
Upsidealien
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Homework Statement
Let M be an affine subset of V.
We then prove that if 0 ∈ M then M is a subspace.
There exists a subspace U of V and a ∈ V such that
M = U + a. (1)
Show that the subspace U in (1) is uniquely determined by M and describe the extent to which a is determined by M.
Homework Equations
An affine subset of V is a non-empty subset M of V with the property that λx+(1−λ)y ∈ M whenever x,y ∈ M and λ ∈ R.
The Attempt at a Solution
Not sure.