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Let V be R³ and TB = {n₁, n2, n3} and SA = {m₁, m2, m3} be the ordered basis for R³, where 3 2 2 ~--~--~- = 1 4 , = - [³] 1 2 and 10 5 = 3 = ~-~-~- m₂ = 4 8 H 3 a) Find transition matrix from TB to SA 2 b) Find [v]SA given that [V]TB = 1 1 4 = 2

Let V be R³ and TB = {n₁, n2, n3} and SA = {m₁, m2, m3} be the ordered basis for R³, where 3 2 2 ~--~--~- = 1 4 , = - [³] 1 2 and 10 5 = 3 = ~-~-~- m₂ = 4 8 H 3 a) Find transition matrix from TB to SA 2 b) Find [v]SA given that [V]TB = 1 1 4 = 2

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 13CM
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Let V be R³ and TB = {n₁, n2, n3} and SA = {m₁, m2, m3} be the ordered basis for R³, where 3 2 2 ~--~--~- = 1 4 , = = - [³] 2 1 2 and 10 5 = 3 = ~-~-~- m₂ = 4 8 H 3 a) Find transition matrix from TB to SA 2 b) Find [v]SA given that [V]TB = 1 1 4
Transcribed Image Text:Let V be R³ and TB = {n₁, n2, n3} and SA = {m₁, m2, m3} be the ordered basis for R³, where 3 2 2 ~--~--~- = 1 4 , = = - [³] 2 1 2 and 10 5 = 3 = ~-~-~- m₂ = 4 8 H 3 a) Find transition matrix from TB to SA 2 b) Find [v]SA given that [V]TB = 1 1 4
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