Subject-advance maths Let A =2213and b=- 1610-604-3-488 Denote the columns of A by a₁, a2, a3, and let W = Span (a₁, 8₂, 83).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 a₂ 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.CO 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.)OB. No, b is not in (a₁. a2, a3} since t cannot be generated by a linear combination of a₁, a2, and a3.ⒸC. Yes, b is in (a₁, 82, a3) since b=a(Type a whole number.)O D. No, b is not in (a₁, a2, a3) sinceis not equal to a₁. a₂, or a3.a₁ + a₂ + ( ª3.

Let and . Denote the columns of A by , and let .a. Is in ? How many vectors are in ?b. Is b in W?…

Let A= 10-6 04-3 and b= -48 22 8 Denote the columns of A by a₁, a2, a3, and let W=Span (a₁, a2, a3). -16 a. Is b in (a₁, a2, a3})? How many vectors are in (a₁, 82, 83}? b. Is b in W? How many vectors are in W? c. Show that a, is in W. [Hint: Row operations are unnecessary.] C 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. Yes, bis 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 = (a₁ + a₂ + (ª3. (Simplify your answers.) OB. No, b is not in (a₁, a2, a3} since it cannot be generated by a linear combination of a₁, a2, and a3. ⒸC. Yes, b is in (a₁. a2, a3} since b = a (Type a whole number.) OD. No, b is not in (a₁. a2, a3) since b is not equal to a₁, 8₂, or a3.

Let A= 10-6 04-3 and b= -48 22 8 Denote the columns of A by a₁, a2, a3, and let W=Span (a₁, a2, a3). -16 a. Is b in (a₁, a2, a3})? How many vectors are in (a₁, 82, 83}? b. Is b in W? How many vectors are in W? c. Show that a, is in W. [Hint: Row operations are unnecessary.] C 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. Yes, bis 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 = (a₁ + a₂ + (ª3. (Simplify your answers.) OB. No, b is not in (a₁, a2, a3} since it cannot be generated by a linear combination of a₁, a2, and a3. ⒸC. Yes, b is in (a₁. a2, a3} since b = a (Type a whole number.) OD. No, b is not in (a₁. a2, a3) since b is not equal to a₁, 8₂, or a3.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 46E

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