Let A = 10-3 0 22 and b = - 4 4 2 -1 6 Denote the columns of A by a₁, a2, a3, and let W = Span {a₁, a₂, a3}. a. Is b in (a₁, a2, a3}? How many vectors are in {a₁, a2, a3}? b. Is b in W? How many vectors are in W? c. Show that a, is in W. [Hint: Row operations are unnecessary.] a. Is b in (a₁, a₂, a3}? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. Yes, b is in (a₁, a2, a3} since, although b is not equal to a₁, a2, or a3, it can be expressed as a linear combination of them. In particular, b = (Simplify your answers.) O C. Yes, b is in W since ba (Type a whole number.) B. No, b is not in (a₁, a2, a3} since b is not equal to a₁, a2, or a3. O C. No, b is not in {a₁, a2, a3} since it cannot be generated by a linear combination of a₁, a2, and a3. OD. Yes, b is in (a₁, a2, a3} since b = a (Type a whole per.) How many vectors are in (a₁, a2, a3}? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. There is(are) 3 vector(s) in (a₁, a2, a3}. (Type a whole number.) OB. There are infinitely many vectors in (a₁, a₂, a3}. b. Is b in W? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. No, b is not in W since b is not equal to a₁, a2, or a3. B. No, b is not in W since it cannot be generated by a linear combination of a₁, a2, and a3. · ( ) a₁ + ( ) a₂ + ( )az.