Answer Happy

Either use an appropriate theorem to show that the given set, W, is a vector space, or find a specific example to the contrary S-2t 3+2s W= st real 2s+t E- The set W is a subset of R4. If W were a vector space, what else would be true about it? O A. The set w would be the null space of R4 ОВ. The set W would be the null space of R? OC. The set w would be a subspace of R? OD. The set W would be a subspace of R4. S-2t Determine whether the zero vector is in W. Find values fort and s such that 3+2s 2s+t Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. 2s 0 O A. The zero vector is in W. The vector equation is satisfied when t= and s O B. The zero vector is not in W. There is not and s such that the vector equation is satisfied. Which of the following is a true statement? O A. Since the zero vector is in W, W is the null space of R4. Thus W is a vector space. OB. Since the zero vector is not in W, W is not the null space of R2. Thus W is not a vector space. OC. Since the zero vector is in W. W is a subspace of R². Thus W is a vector space. OD. Since the zero vector is not in W. W is not a subspace of R. Thus W is not a vector space.