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8. b₁ = [¯3 ] · b ₂ = [ - ]· 9₁ = [4 ]- 2 = [H

8. b₁ = [¯3 ] · b ₂ = [ - ]· 9₁ = [4 ]- 2 = [H

Advanced Engineering Mathematics
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 8 please
In Exercises 7-10, let B = {b₁,b₂} and C = {c₁, c₂} be bases for R². In each exercise, find the change-of-coordinates matrix from B to C and the change-of-coordinates matrix from C to B. 7. b₁ = [3]. 8. b₁ = b2 [²1] 9 = [ - ]· ²2 = [-²] C₁ - 2 - [¯ ]· b₂ = [-]₁ 9 = [4] ₁ ² = [] C₂
Transcribed Image Text:In Exercises 7-10, let B = {b₁,b₂} and C = {c₁, c₂} be bases for R². In each exercise, find the change-of-coordinates matrix from B to C and the change-of-coordinates matrix from C to B. 7. b₁ = [3]. 8. b₁ = b2 [²1] 9 = [ - ]· ²2 = [-²] C₁ - 2 - [¯ ]· b₂ = [-]₁ 9 = [4] ₁ ² = [] C₂
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