Let a1 0,a22, as a3 2, and b = Write b as a linear combination of a₁, a2, and a3, if possible. b= -1 We can write v as a linear combination of the given vect 0-1 2 + 3 TTS 2 [3] b is not a linear combination of a₁,a2 and a

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

When checking if b is a linear combination, can you explain to me in how do you determine if b is a linear combination, for Linear Algebra?

Let a₁ = 0,a2 = 2, a3 = 2 and b =
Write b as a linear combination of a₁, a2, and a3, if possible.
OWe can write v as a linear combination of the given vectors.
[o]
1
2
b= -1
0-1
3
2+3
Ob is not a linear combination of a₁,a2 and ag
Transcribed Image Text:Let a₁ = 0,a2 = 2, a3 = 2 and b = Write b as a linear combination of a₁, a2, and a3, if possible. OWe can write v as a linear combination of the given vectors. [o] 1 2 b= -1 0-1 3 2+3 Ob is not a linear combination of a₁,a2 and ag
Expert Solution
steps

Step by step

Solved in 3 steps with 4 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,