0 - 1 0 Let v1 = _1 , v2 = 0 , and v3 = 1 . Does {V1,V2,V3} span R4? Why or why not? 1 1 0 Choose the correct answer below. {:5 A- Yes. Any vector in R4 except the zero vector can be written as a linear combination of these three vectors. {I} B. Yes. When the given vectors are written as the columns of a matrix A, A has a pivot position in every row. {:2- C. No. When the given vectors are written as the columns of a matrix A, A has a pivot position in only three rows. {.5 D- No. The set of given vectors spans a plane in R4. Any of the three vectors can be written as a linear combination of the other two. 2 Let A = and b = . Show that the equation Ax= b does not have a solution for some choices of b, and describe the set of all h for which Ax = b does have a solution. How can it be shown that the equation Ax= b does not have a solution for some choices of b? Find a vector b for which the solution to Ax = b is the identity vector. Row reduce the matrix A to demonstrate that A has a pivot position in every row. Row reduce the matrix A to demonstrate that A does not have a pivot position in every row. Row reduce the augmented matrix [ A b ] to demonstrate that [ A b ] has a pivot position in every row. Find a vector x for which Ax = b is the identity vector. Describe the set of all h for which Ax = b does have a solution. The set of all b for which Ax = b does have a solution is the set of solutions to the equation 0 = b1 + b2. (Type an integer or a decimal.)