4. Define two ordered bases B = and C = on R³. (i) Find PB-. (ii) Find numbers a, b, c satisfying = 2 |2 +3 |2 – 4 3 a |2 +b |1 +c|1 1 by computing a 2 = PB+c | 3 C (iii) For what vector v4 in R³ do we have а 2 = [va]B and = [v]c? C
4. Define two ordered bases B = and C = on R³. (i) Find PB-. (ii) Find numbers a, b, c satisfying = 2 |2 +3 |2 – 4 3 a |2 +b |1 +c|1 1 by computing a 2 = PB+c | 3 C (iii) For what vector v4 in R³ do we have а 2 = [va]B and = [v]c? C
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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![4. Define two ordered bases
В
2
and
C = -
2
2
3
on R³.
(i) Find PB-c.
(ii) Find numbers a,b, c satisfying
[2
a 2 +6 |1| +c|1
= 2 2 +3 2
3
3
by computing
a
2
: PB+c | 3
C
(iii) For what vector v4 in R³ do we have
2
b| = [v4]B
= [v4]c?
and
3
C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F67429e19-8d15-47bc-bbfe-dfa923849540%2F17495ddb-b5a5-43c6-abb0-a975692dbd30%2Fm2zdzg_processed.png&w=3840&q=75)
Transcribed Image Text:4. Define two ordered bases
В
2
and
C = -
2
2
3
on R³.
(i) Find PB-c.
(ii) Find numbers a,b, c satisfying
[2
a 2 +6 |1| +c|1
= 2 2 +3 2
3
3
by computing
a
2
: PB+c | 3
C
(iii) For what vector v4 in R³ do we have
2
b| = [v4]B
= [v4]c?
and
3
C
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