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The standard basis S = {ej , e2} and two custom bases B = {b1, b2} and C = {c1, c2} for R? are shown in the figures below. Standard basis S = {e1,e2} Standard basis S = {e1, e2} ly y c2 3 3 2 2 e2 e2 1 [id e1 e1 -1 b1 -2 -2 b2 c1 -3 -3 -2 -1 1 2 3 -3 -2 -1 1 2 3 [id t [id ↑ c2 [id b1 b2 c1 Custom basis B = {b1, b2} Custom basis C = {c1, c2}

The standard basis S = {ej , e2} and two custom bases B = {b1, b2} and C = {c1, c2} for R? are shown in the figures below. Standard basis S = {e1,e2} Standard basis S = {e1, e2} ly y c2 3 3 2 2 e2 e2 1 [id e1 e1 -1 b1 -2 -2 b2 c1 -3 -3 -2 -1 1 2 3 -3 -2 -1 1 2 3 [id t [id ↑ c2 [id b1 b2 c1 Custom basis B = {b1, b2} Custom basis C = {c1, c2}

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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a. Find the change of basis matrix from custom B-coordinates to standard S-coordinates. 1 -1 [id= -1 -2 b. Find the change of basis matrix from custom C-coordinates to standard S-coordinates. -2 -1 [id -2 3 c. Find the change of basis matrix from B-coordinates to C-coordinates. -2 -1 [id 1 d. Find the change of basis matrix from C-coordinates to B-coordinates. -2/3 -5/3 (id 4/3 -2/3
Transcribed Image Text:a. Find the change of basis matrix from custom B-coordinates to standard S-coordinates. 1 -1 [id= -1 -2 b. Find the change of basis matrix from custom C-coordinates to standard S-coordinates. -2 -1 [id -2 3 c. Find the change of basis matrix from B-coordinates to C-coordinates. -2 -1 [id 1 d. Find the change of basis matrix from C-coordinates to B-coordinates. -2/3 -5/3 (id 4/3 -2/3
The standard basis S = {ej , e2} and two custom bases B = {b1, b2} and C = {c1, c2} for R? are shown in the figures below. Standard basis S = {e1,e2} Standard basis S = {e1, e2} ly y c2 3 3 2 2 e2 e2 1 [id e1 e1 -1 b1 -2 -2 b2 c1 -3 -3 -2 -1 1 2 3 -3 -2 -1 1 2 3 [id t [id ↑ c2 [id b1 b2 c1 Custom basis B = {b1, b2} Custom basis C = {c1, c2}
Transcribed Image Text:The standard basis S = {ej , e2} and two custom bases B = {b1, b2} and C = {c1, c2} for R? are shown in the figures below. Standard basis S = {e1,e2} Standard basis S = {e1, e2} ly y c2 3 3 2 2 e2 e2 1 [id e1 e1 -1 b1 -2 -2 b2 c1 -3 -3 -2 -1 1 2 3 -3 -2 -1 1 2 3 [id t [id ↑ c2 [id b1 b2 c1 Custom basis B = {b1, b2} Custom basis C = {c1, c2}
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