4. Define two ordered bases 2 B = and C = 2 3 3 2 on R³. (i) Find PB-c. (Hint: Use your work from problems 2 and 3.) (ii) Find numbers a, b, c satisfying a 2 +6 |1| +c|1 = 2 2 +3 2 - 4 1 1 3 3 2 by computing a = PB+C 3 4 (iii) For what vector va in R³ do we have 2 [v4]B and 3 = [v4]c? -4
4. Define two ordered bases 2 B = and C = 2 3 3 2 on R³. (i) Find PB-c. (Hint: Use your work from problems 2 and 3.) (ii) Find numbers a, b, c satisfying a 2 +6 |1| +c|1 = 2 2 +3 2 - 4 1 1 3 3 2 by computing a = PB+C 3 4 (iii) For what vector va in R³ do we have 2 [v4]B and 3 = [v4]c? -4
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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I just need help on what to do for iii. There is no need to solve I just need help setting it up.
![4. Define two ordered bases
2
B =
and
C =
2
3
3
2
on R³.
(i) Find PB-c. (Hint: Use your work from problems 2 and 3.)
(ii) Find numbers a, b, c satisfying
a 2 +6 |1| +c|1
= 2 2 +3 2
- 4
1
1
3
3
2
by computing
a
= PB+C
3
4
(iii) For what vector va in R³ do we have
2
[v4]B
and
3
= [v4]c?
-4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9beb5ab6-4fd3-4e9c-8c6c-c4109f4c868c%2Fa1d1d00b-cd88-4ba6-9125-6baefd4b8643%2F06x9by9_processed.png&w=3840&q=75)
Transcribed Image Text:4. Define two ordered bases
2
B =
and
C =
2
3
3
2
on R³.
(i) Find PB-c. (Hint: Use your work from problems 2 and 3.)
(ii) Find numbers a, b, c satisfying
a 2 +6 |1| +c|1
= 2 2 +3 2
- 4
1
1
3
3
2
by computing
a
= PB+C
3
4
(iii) For what vector va in R³ do we have
2
[v4]B
and
3
= [v4]c?
-4
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