b. Is b in W? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.O A. No, b is not in W since b is not equal to a₁, a2, or a3.OB. Yes, b is in W since b = a(Type a whole number.)O C. Yes, b is in W 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.)and a3.O D. No, b is not in W since it cannot be generated by a linear combination of a₁, a₂,( )aq + ( )az + ( )ag.a₁a2 Let A =10-402-3- 4 4 2and b =016Denote 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.]

Answered: Image /qna-images/answer/85d56d47-d3e3-4c8b-83d3-eb121df78226.jpg

Answered: Let A = 10-4 02-3 - 4 4 2 and b = 0 1 6…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Exercise 1.14. Show that the series Σ 12 + 2z10n – 5zn2 – 3z3 + 2z10n2 n=1 - - converges absolutely for |z| < 1.
Determine if v is in the set spanned by the columns of B. B= 8-3 2 -9 4-7 6-2 4 5 -1 10 V= 12 -11 10 11 GETOP Choose the correct answer below and, if necessary, fill in the answer box(es) to complete your choice. OA. Vector v is not in the set spanned by the columns of B because the columns of B, b,, b₂, and b, are linearly independent. B. Vector v is not in the set spanned by the columns of B because the reduced echelon form of the matrix formed by writing B with a fourth column equal to v is OC. Vector v is in the set spanned by the columns of B because the columns of B span R¹. OD. Vector v is in the set spanned by the columns of B because b₁ b₂+ b3 FV. +
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Consider the following vectors: 3 9. 6 -2 -5 -6 a = 8 1 1 9. For each of the following vectors, determine whether it is in span{a, 6. c}. If so, express it as a linear combination using a, b, and c as the names of the vectors above. 9. V1 = 9. -7 -15 13 -8 -17 18 -10 16
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Let A = 10-4 02-3 - 4 4 2 and b = 0 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.]