Determine whether b can be written as a linear combination of a₁, a₂, and a3. In other words, determine whether weights X₁, X₂, and X₂ exist, such that x, a₁ + x₂a₂ + x3 = b. Determine the weights X₁, X₂, and x3 if possible. Let a₁ = BH OA. x₁=2, X₂=1, X3 = 2 OB. x1=1, x₂=0, x3 = 1 OC. x₁ = -2, x₂ = -1, x3 = -5 OD. There is no solution. 6 and b= -5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Determine whether b can be written as a linear combination of a₁, a2, and a3. In other words, determine whether weights X₁, X₂, and X3
exist, such that x, a₁ +X₂ª₂ +X3ª3 = b. Determine the weights X₁, X₂, and x3 if possible.
·0-0-0
2 a₂
4
1
Let a₁ =
1
-3
O A. x₁ = 2, X₂ = 1, X3 = 2
O B. x₁=1, x₂ = 0, X3 = 1
OC. x₁ = -2, x2 = -1, x3 = -5
O D. There is no solution.
2
6
and b=
3
-5
-4
Transcribed Image Text:Determine whether b can be written as a linear combination of a₁, a2, and a3. In other words, determine whether weights X₁, X₂, and X3 exist, such that x, a₁ +X₂ª₂ +X3ª3 = b. Determine the weights X₁, X₂, and x3 if possible. ·0-0-0 2 a₂ 4 1 Let a₁ = 1 -3 O A. x₁ = 2, X₂ = 1, X3 = 2 O B. x₁=1, x₂ = 0, X3 = 1 OC. x₁ = -2, x2 = -1, x3 = -5 O D. There is no solution. 2 6 and b= 3 -5 -4
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,