I->Let A =10-202-5 and b=-26 2511 Denote the columns of A by a₁. a2. a3, and let W=Span (a₁a2. a).16a. Is b in (a,. a2. a)? How many vectors are in (a,. 82. a)?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. 8₂. a3) ? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.OA. No, b is not in (a,, a2. a) since b is not equal to a₁, 82, or aB. Yes, b is in (a,. a2. a), since b=a(Type a whole number.)OC. Yes, b is in (a,. a2. a), since, although b is not equal to a,, az, or ay, it can be expressed as a linear combination of them. In particular,b=a₁0(Simplify your answers.)OD. No, b is not in (a,. a2. as) since it cannot be generated by a linear combination of a,. a2, and ag.

The objective of the question is linear combination of vector and choosing the correct option.

Let A= 10-2 02-5 and b= 11- Denote the columns of A by a₁. 2. 3. and let W=Span (a₁. ₂. 3) -26 2 a. Is b in (a,. a. a)? How many vectors are in (a,. a.az)? 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. OA. No, b is not in (a,. a. a) since b is not equal to a₁. a. or a. B. Yes, b is in (a,. a. a) since ba (Type a whole number.) OC. Yes, b is in (a,. 82. a), since, although b is not equal to a,, a2, or ay, it can be expressed as a linear combination of them. In p b=a₁a₂ (Simplify your answers.) OD. No, b is not in (a,. a. a), since it cannot be generated by a linear combination of a,. a2, and a..