borkborkmath
New member
- Joined
- Mar 4, 2011
- Messages
- 16
Given that U is a subspace of an inner product space V;
1) Show that if U^perp = V, then U = {0} (zero vector)
2) Show that if U^perp = {0}, then U = V
For 1, I thought that this would be seen because the zero vector is the only vector that is orthogonal to everything. But, I don't think that is correct.
1) Show that if U^perp = V, then U = {0} (zero vector)
2) Show that if U^perp = {0}, then U = V
For 1, I thought that this would be seen because the zero vector is the only vector that is orthogonal to everything. But, I don't think that is correct.