Homework Help Overview
The discussion revolves around the axioms of vector spaces, specifically evaluating whether a given set of polynomials of degree three or higher, including zero, qualifies as a vector space. The original poster questions the validity of the axiom 1*x = x in this context.
Discussion Character
- Conceptual clarification, Assumption checking
Approaches and Questions Raised
- Participants explore the implications of the vector space axioms, particularly focusing on closure under vector addition and the existence of a zero vector. Questions arise regarding the original poster's understanding of the axioms and the specific properties of the polynomial set.
Discussion Status
The discussion is active, with participants providing insights into the requirements for a vector space. Some guidance has been offered regarding the importance of closure under addition and the necessity of a zero vector, although there is no explicit consensus on the original poster's understanding of the axioms.
Contextual Notes
There is a mention of the original post asserting that zero is included in the set, which raises further questions about the implications for vector addition and the overall structure of the space.
