- #1

Upsidealien

- 8

- 0

## 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.