Answer Happy

Let W be the set of all vectors of the form Write the vectors in W as column vectors. 2t 4s + 5t 4s - 3t 5s = S = su + tv 2t 4s + 5t 4s - 3t 5s . Show that W is a subspace of R4 by finding vectors u and v such that W = Span{u,v}.
Let W be the set of all vectors of the form shown on the right, where a and b represent arbitrary real numbers. Find a set S of vectors that spans W, or give an example or an explanation showing why W is not a vector space. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. A spanning set is S= (Use a comma to separate vectors as needed.) 8a + 5b -5 8a-3b OB. W is not a vector space because the zero vector and most sums and scalar multiples of vectors in W are not in W, because their second (middle) equal to - 5. C. W is not a vector space because not all vectors u, v, and w in W have the property that u + v=v+u and (u + v) +w=u+ (v+w).
Let W be the set of all vectors of the form shown on the right, where a, b, and c represent arbitrary real numbers. Find a set S of vectors that spans W or give an example or an explanation to show that W is not a vector space. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The set W is a vector space and a spanning set is S = { }. (Use a comma to separate vectors as needed.) B. The set W is not a vector space because W does not contain the zero vector. C. The set W is not a vector space because W is not closed under scalar multi cation. D. The set W is not a vector space because W is not closed under vector addition. 7a + 3b 0 a+b+c c-2a
Let u and v be vectors in vector space V, and let H be any subspace of V that contains both u and v. Explain why H also contains Span {u,v}. This sho Span {u,v} is the smallest subspace of V that contains both u and v. S BIUS I = = = !!! ... EDE x² Insert Formula