Tilted Forum Project Discussion Community - View Single Post

KnifeMissile · 03-11-2004, 05:34 PM

This may sound weird but your question doesn't seem so difficult, nor do I understand it. Let me rephrase your question in a manner that makes sense to me and tell me if it's the same question. It sounds like you've got some terminology mixed up...

Let U and W be subspaces of a vector space V. Prove that if every vector in V belongs to U or W, then U = V or W = V.

Is this right?
It would also help to know what it is you can use. Do you know about vector bases, spanning, and dimensions?

03-11-2004, 05:34 PM	#2 (permalink)
KnifeMissile Location: Waterloo, Ontario	This may sound weird but your question doesn't seem so difficult, nor do I understand it. Let me rephrase your question in a manner that makes sense to me and tell me if it's the same question. It sounds like you've got some terminology mixed up... Let U and W be subspaces of a vector space V. Prove that if every vector in V belongs to U or W, then U = V or W = V. Is this right? It would also help to know what it is you can use. Do you know about vector bases, spanning, and dimensions? Last edited by KnifeMissile; 03-11-2004 at 05:50 PM..