Suppose L: R² R³ is defined by L the given bases. [L(u)]s, = [L(u)]B₂ = ~Q[*^~-{]}]}----(HH:) 000-000- . Let and B₂ = be ordered bases for R³. If u = find [L(u)]s, and [L(u)]8₂'' the coordinate vectors of L with respect to each of
Suppose L: R² R³ is defined by L the given bases. [L(u)]s, = [L(u)]B₂ = ~Q[*^~-{]}]}----(HH:) 000-000- . Let and B₂ = be ordered bases for R³. If u = find [L(u)]s, and [L(u)]8₂'' the coordinate vectors of L with respect to each of
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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Question
![Suppose L: R2 R³ is defined by L X1
→>>
the given bases.
[L(u)]B₁
=
[4(u)] B₂ =
↓
→
1
-Q][*3]-{]}---CH:H:}·
-X1 Let B₁ = 2, 5,
1 and B₂ 2
0 4 4
-
x2
=
+ x₂
2X2
=
0 1 2
4
9
8 be ordered bases for R³. If u =
6
3
[³],
find [L(u)] and [L(u)], the coordinate vectors of L with respect to each of
4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3da0cd1-4491-4699-a531-553fdaf9ab08%2F00e1954e-3051-4e41-a459-f78896941fd4%2F8diib8s_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose L: R2 R³ is defined by L X1
→>>
the given bases.
[L(u)]B₁
=
[4(u)] B₂ =
↓
→
1
-Q][*3]-{]}---CH:H:}·
-X1 Let B₁ = 2, 5,
1 and B₂ 2
0 4 4
-
x2
=
+ x₂
2X2
=
0 1 2
4
9
8 be ordered bases for R³. If u =
6
3
[³],
find [L(u)] and [L(u)], the coordinate vectors of L with respect to each of
4
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