18 MFómh 2012 · The discussion focuses on determining which sets of polynomials in P4 qualify as subspaces. It is established that only the set of polynomials p (x) where p (0) = 0 is a …

27 Aib 2011 · Hi all, I was just wondering, is there is a particular symbol to say V is a subspace of W? I suppose V\subsetW works if I describe each (sub)space in...

24 Ean 2024 · My thought was that was a vector space and a subspace with an uncountably infinite index. I then confused index and dimension instead of building a correct counterexample.

13 DFómh 2008 · If W is a vector space itself, with the same vector space operations as V has, then it is a subspace of V. To use this definition, we don't have to prove that all the properties of …

25 Lún 2006 · R^2 is not a subspace of R^3 because R^2 consists of vectors with two components, while R^3 consists of vectors with three components, making them fundamentally …

7 Márta 2006 · W is defined as the set of vectors in R4 satisfying the equation x1 + x3 = x2 + x4, and it qualifies as a subspace of R4. To verify this, one must check the three main properties: …

7 Márta 2009 · My understanding of the subspace still isn't solid enough, so I want to know what I know so far is at least correct. By definition, a set of vectors S of Rn is called a subspace of Rn …

15 MFómh 2011 · Homework Statement Prove that the set of all n x n matrices A such that AB = BA for a fixed n x n matrix B, is a subspace of Mnn. Homework Equations u + v is in the same …

18 Lún 2012 · The discussion focuses on proving that the set S, consisting of polynomials in P2 (ℝ) that evaluate to zero at x=7, is a subspace. To establish this, it is necessary to demonstrate …

24 MFómh 2009 · The discussion revolves around proving that the sets of even and odd functions are subspaces of the vector space of all functions from R to R. Participants explore the …