Suppose [v], [V] B₂ = B 1 1 3 = [-2]." ³₁ = {[2] [³]} If -4 5 B2 and B. = 2 5 {[³][³)}, 1 3 find [v] B₂

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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7
2 5
Suppose [V], [-2]- 8₁ - {[2] [3])} and ₂ - {[²] [³]}, and (2)
= ]. If = {[2]}}}
B,
find [v]
B
1
4
1
2
5
1
3
[V] B2
=
Transcribed Image Text:7 2 5 Suppose [V], [-2]- 8₁ - {[2] [3])} and ₂ - {[²] [³]}, and (2) = ]. If = {[2]}}} B, find [v] B 1 4 1 2 5 1 3 [V] B2 =
Suppose [v] B₂ is as follows.
[V] B₁
[V] B₂]
=
=
7
6
If
ordered bases B₁ = {[?],[]}
4
1
14
13
14
| B₂
and
=
8 10
{¡][¹}}
3
find [v] B₁
Transcribed Image Text:Suppose [v] B₂ is as follows. [V] B₁ [V] B₂] = = 7 6 If ordered bases B₁ = {[?],[]} 4 1 14 13 14 | B₂ and = 8 10 {¡][¹}} 3 find [v] B₁
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