5. Consider the bases for R²: * - {^ - ( ) - - ( • ) } - {~ - () --()} B₁ = Οι = √2 = 8 B2 = = = (a) Find the transition matrix from B₁ to B2. Show all of your work. (b) If u is a vector such that [u]B₁ = (4) find [B. Show all of your work. (c) Find the transition matrix from B₂ to B₁
5. Consider the bases for R²: * - {^ - ( ) - - ( • ) } - {~ - () --()} B₁ = Οι = √2 = 8 B2 = = = (a) Find the transition matrix from B₁ to B2. Show all of your work. (b) If u is a vector such that [u]B₁ = (4) find [B. Show all of your work. (c) Find the transition matrix from B₂ to B₁
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 8E
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Question
![5. Consider the bases for R²:
* - {^ - ( ) - - ( • ) } - {~ - () --()}
B₁ =
Οι =
√2 =
8
B2 =
=
=
(a) Find the transition matrix from B₁ to B2. Show all of your work.
(b) If u is a vector such that [u]B₁
=
(4)
find [B. Show all of your work.
(c) Find the transition matrix from B₂ to B₁](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2cc04b1e-803c-4d9d-b550-d2ae04bcc2b3%2F9a938777-fc35-4878-8df0-dfd65f9f9458%2Fnza8a1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. Consider the bases for R²:
* - {^ - ( ) - - ( • ) } - {~ - () --()}
B₁ =
Οι =
√2 =
8
B2 =
=
=
(a) Find the transition matrix from B₁ to B2. Show all of your work.
(b) If u is a vector such that [u]B₁
=
(4)
find [B. Show all of your work.
(c) Find the transition matrix from B₂ to B₁
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