- #1
krozer
- 13
- 0
Homework Statement
Let F be a subset of the complex numbers. Let V be a vector space over F, and suppose α, β and γ are linearly independent vectors in V. Prove that (α+β), (β+γ) and (γ+α) are linearly independent.
Homework Equations
None.
The Attempt at a Solution
None.
Thanks for your time.