- #1

- 48

- 5

- Homework Statement
- Is the following set of vectors a = (a1, ... a_n) in Rn subspaces of Rn (n≥3): all a such that a1 ≥ 0 ?

- Relevant Equations
- i) For vectors x and y in the subspace, x + y is in the subspace.

ii) For any vector x in the subspace, cx is in the subspace.

I don't understand the solution: that for (1, ..., 1) the additive inverse is (-1, ..., -1), so the condition is not satisfied (and it is not a subspace).

Which condition is not met?

Thank you.

Which condition is not met?

Thank you.