- #1
mpittma1
- 55
- 0
Homework Statement
Let V be an inner product space. Show that if w is orthogonal to each of the vectors
u1,u2,...,ur, then it is orthogonal to every vector in the span{u1,u2,...,ur}.
Homework Equations
The Attempt at a Solution
Not sure how to show this, if w is orthogonal to every vector u1,u2,...,ur, wouldn't w already be orthogonal to the spanning set?
The spanning set is a subspace of the subspace of the inner product space of V.
Am I suppose to show it symbolically?