Suppose L: R² R² is defined by L ordered bases. [L(u)]B₁ = [L(u)]₂ 4 [X₂] - [ × ₂ -³X₁ ] . Let B₁ = { [ 3 ][{}}} • 11 and B₂ = be ordered bases for R2. If u = find [L(u)], and [L(u)], the coordinate vectors of L with respect to each of the given
Suppose L: R² R² is defined by L ordered bases. [L(u)]B₁ = [L(u)]₂ 4 [X₂] - [ × ₂ -³X₁ ] . Let B₁ = { [ 3 ][{}}} • 11 and B₂ = be ordered bases for R2. If u = find [L(u)], and [L(u)], the coordinate vectors of L with respect to each of the given
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 R2 is defined by L
→→
ordered bases.
[L(u)]B₁
=
[L(u)]B₂³
=
· 4 [X₂] - [×₂ -³x, ] · Let B, = {[§ ]· [²]} and B₂ = {[2]· [4]}
=
X2
1
be ordered bases for R². If u =
[₁2], find [L(u)]g, and [L(u)]g,, the coordinate vectors of L with respect to each of the given
12](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3da0cd1-4491-4699-a531-553fdaf9ab08%2Fc8735f2a-4b3d-411e-bf0a-8effd6e86ea9%2F5is9kw5_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose L: R2 R2 is defined by L
→→
ordered bases.
[L(u)]B₁
=
[L(u)]B₂³
=
· 4 [X₂] - [×₂ -³x, ] · Let B, = {[§ ]· [²]} and B₂ = {[2]· [4]}
=
X2
1
be ordered bases for R². If u =
[₁2], find [L(u)]g, and [L(u)]g,, the coordinate vectors of L with respect to each of the given
12
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