- #1

- 110

- 0

## Homework Statement

For x, y in a vector space V, c in F, if cx=0 then c=0?

How do you prove this?

This is originally from Friedman, Linear Algebra, p.12.

To prove this, I can use a few facts:

(1) cancellation law

(2) 0, -x are unique

(3) 0x = 0

with basic vector space definition.