- #1
Robb
- 225
- 8
Moved from technical math section, so missing the HW templage
Determine whether or not W is a subspace of R^3, where W consists of all vectors (a, b, c) in R^3 such that (a) a = 3b; (b) a<=b<=c; (c) ab = 0.
a) Because vectors (a,b,c) can assume any value in W, W is a subset of R^3. Also, the zero vector belongs to W and W is closed under vector addition (a,b,c are elements of W, a+b+c belongs to W) and scalar multiplication (a,b,c belong to W, k belongs to K and k(a,b,c) belongs to W.
Please give input on my statement (a).
a) Because vectors (a,b,c) can assume any value in W, W is a subset of R^3. Also, the zero vector belongs to W and W is closed under vector addition (a,b,c are elements of W, a+b+c belongs to W) and scalar multiplication (a,b,c belong to W, k belongs to K and k(a,b,c) belongs to W.
Please give input on my statement (a).