Suppose L: R2 R2 is defined by L respect to each of the given ordered bases. [L(u)]B₁ [L(u)]B₂ = ↓↑ ↓ 1 · 4[X₂] - [x₂ -³X₁ ]· Let B₁ = {[ 9 ]· [ ³ ]} and B₂ = {[2] []} be ordered bases for R2. If u = , find [2(u)] and [L(u)], the coordinate vectors of L with
Suppose L: R2 R2 is defined by L respect to each of the given ordered bases. [L(u)]B₁ [L(u)]B₂ = ↓↑ ↓ 1 · 4[X₂] - [x₂ -³X₁ ]· Let B₁ = {[ 9 ]· [ ³ ]} and B₂ = {[2] []} be ordered bases for R2. If u = , find [2(u)] and [L(u)], the coordinate vectors of L with
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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matrix rp
![Suppose L: R2 R2 is defined by L
respect to each of the given ordered bases.
[L(u)]B₁
[L(u)] B₂
=
=
6
2
6
4[*₂] - [×₂ -³* ; ].· Let B, - {[ 9 ]- [³ ]} and B2₂ - {[²]· [4]}
=
=
3
5
2
↓ 1
-
be ordered bases for R². If u =
8
[₁2], , find [2(u)]µ and [2(u)], the coordinate vectors of L with
12](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc77f3dc9-a37b-4691-b139-29113383e530%2F4eb4264f-9b18-49df-8bf9-7146e99d61de%2Fm9703xr_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose L: R2 R2 is defined by L
respect to each of the given ordered bases.
[L(u)]B₁
[L(u)] B₂
=
=
6
2
6
4[*₂] - [×₂ -³* ; ].· Let B, - {[ 9 ]- [³ ]} and B2₂ - {[²]· [4]}
=
=
3
5
2
↓ 1
-
be ordered bases for R². If u =
8
[₁2], , find [2(u)]µ and [2(u)], the coordinate vectors of L with
12
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