- #1
negation
- 818
- 0
Homework Statement
For a set of vectors in R3,
is the set of vectors all of whose coordinates are integers a subspace?
The Attempt at a Solution
I do not exactly understand if I should be looking for a violation or a universal proof.
If x,y, z [itex]\in Z[/itex] then x,y,z can be writted as {(x,y,z)|x,y,z [itex]\in Z[/itex]}
(1,0,0) has integers as coordiantes but is not in the set because it does not pass through the origin.