Do vectors wi = 2+x and w2 = 3 – x, span P1 (R) E Expand

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
100%

How do I find the basis for these two vectors?

Do vectors wi = 2+ x and w2 = 3 – x, span Pi(R)
E Expand
Transcribed Image Text
Do vectors wi = 2+ x and w2 3- X, Span P1(R)
V Expert Answer
Step 1
Do vectors
w, = 2+1
Si W2 = 3-
Spans RR)
et
a+ba E P. (R)
Step 2
Now
atbn = pwit qwz
at ba= P(2+a)+9(3-2)
(2P4 34) + (P-9)<
atba =
2p+39 =9
P-9=6
Solving bol5
5= 4-26
9= 9-26
=) P = b+q=b+ 8~26
P = a+3b
Then atbr =
+36 (2+a) +i
> atbn= Gt3b w, +
9+36
=) W, Wz Spens PCIR)
Transcribed Image Text:Do vectors wi = 2+ x and w2 = 3 – x, span Pi(R) E Expand Transcribed Image Text Do vectors wi = 2+ x and w2 3- X, Span P1(R) V Expert Answer Step 1 Do vectors w, = 2+1 Si W2 = 3- Spans RR) et a+ba E P. (R) Step 2 Now atbn = pwit qwz at ba= P(2+a)+9(3-2) (2P4 34) + (P-9)< atba = 2p+39 =9 P-9=6 Solving bol5 5= 4-26 9= 9-26 =) P = b+q=b+ 8~26 P = a+3b Then atbr = +36 (2+a) +i > atbn= Gt3b w, + 9+36 =) W, Wz Spens PCIR)
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,