a – 4b 2b - a Let W be the set of all vectors of the form with a, b arbitrary reals. Then (mark all that apply): 6a +b -a -b 1 -4 2 is a basis of W. -1 2 -3 3 is a basis of W. -2 -9 3 2 - 4 -2 2 is a basis of W. 12 -2 - 1 I W is not a vector space.

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
a – 4b
2b - a
Let W be the set of all vectors of the form
with a, b arbitrary reals. Then (mark all that apply):
ба +b
-a -b
1
- 41
is a basis of W.
1
-1
2
-3
-2
is a basis of W.
-9
-2
- 4
-2
is a basis of W.
1
12
-2
- 1
O W is not a vector space.
Transcribed Image Text:a – 4b 2b - a Let W be the set of all vectors of the form with a, b arbitrary reals. Then (mark all that apply): ба +b -a -b 1 - 41 is a basis of W. 1 -1 2 -3 -2 is a basis of W. -9 -2 - 4 -2 is a basis of W. 1 12 -2 - 1 O W is not a vector space.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 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,