Recent content by jubjub49

  1. J

    Linear algebra, is W a subspace of R^2 problem

    Sure that definitely makes sense, I'm still not sure what my book actually means because there aren't any other questions that include that phrase to compare it to, which is strange because these are supposed to be review questions over the chapter. Would make sense of why the answer is like...
  2. J

    Linear algebra, is W a subspace of R^2 problem

    That might be what I'm missing but what would be an example of an integer which would violate one of the closure axioms? All it really says is "a is an integer".
  3. J

    Linear algebra, is W a subspace of R^2 problem

    I'm using the test for a subspace given as "If W is a nonempty subset of a vector space V, then W is a subspace of V if and only if the following closure conditions hold. 1. If u and v are in W, then u+v is in W. 2. If u is in W and c is any scalar, then cu is in W." Vector addition...
  4. J

    Linear algebra, is W a subspace of R^2 problem

    Homework Statement Determine whether W is a subspace of the vector space: W={(x,y):y=ax, a is an integer} , V=R^2 Homework Equations noneThe Attempt at a Solution Is u+v in W? Let u = (u,au) and v = (v,av) u+v = (u,au) + (v,av) = (u+v, au + av) = (u+v, a(u+v)) If x = u+v => u + v = (x,ax) =>...