4[X]- = 9x₁x₂. representation P for L relative to B₁ and B₂ such that [L(u)]₂=P[u]₁ Let L: R2 R2 be defined by L P = x₁ + 2x₂ . Suppose B₁ = {[:], []} is an ordered basis for the domain and B₂ = {[3] [2]} is an ordered basis for the range. Find the matrix
4[X]- = 9x₁x₂. representation P for L relative to B₁ and B₂ such that [L(u)]₂=P[u]₁ Let L: R2 R2 be defined by L P = x₁ + 2x₂ . Suppose B₁ = {[:], []} is an ordered basis for the domain and B₂ = {[3] [2]} is an ordered basis for the range. Find the matrix
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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please answer
![Let L: R² R² be defined by
→>>>
x₁ + 2x₂
9x1-x₂.
representation P for L relative to B₁ and B₂ such that [L(u)]Â
1
2
B₂
[₁]-[
P =
Suppose B₁ = {[] []}
1
1
P[u] B.
x2
=
is an ordered basis for the domain and
2
3
6
=
-{[³] [²]}
4
2
is an ordered basis for the range. Find the matrix](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2903bb2a-771d-40b7-a62d-703de2e08baa%2F786be711-7174-486a-b573-1b6c3dd6e17e%2Fu8lvy8n_processed.png&w=3840&q=75)
Transcribed Image Text:Let L: R² R² be defined by
→>>>
x₁ + 2x₂
9x1-x₂.
representation P for L relative to B₁ and B₂ such that [L(u)]Â
1
2
B₂
[₁]-[
P =
Suppose B₁ = {[] []}
1
1
P[u] B.
x2
=
is an ordered basis for the domain and
2
3
6
=
-{[³] [²]}
4
2
is an ordered basis for the range. Find the matrix
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