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(i) Consider T: R³ R³ defined by ->> T(T1, T2, T3) = (x₁, I₁+I₂, X₁ + X₂ + x3). If B = {₁, ₂, 3} and B' = {B₁, B2, B3}, where a₁ = (0, 1, 1), a₂ = (1, 0, 1), a3 = = (1, 1,0), B₁ = (1,0,0), B₂ = (1,1,0), B3 = (1, 1, 1), what is the matrix [T]B-B?

(i) Consider T: R³ R³ defined by ->> T(T1, T2, T3) = (x₁, I₁+I₂, X₁ + X₂ + x3). If B = {₁, ₂, 3} and B' = {B₁, B2, B3}, where a₁ = (0, 1, 1), a₂ = (1, 0, 1), a3 = = (1, 1,0), B₁ = (1,0,0), B₂ = (1,1,0), B3 = (1, 1, 1), what is the matrix [T]B-B?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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(i) Consider T: R³ R³ defined by T(T1, T2, T3) = (x₁, I₁+I₂, X₁ + x₂ + x3). If B = {₁, ₂, 3} and B' = {B₁, B2, B3}, where a₁ = (0, 1, 1), a₂ = (1,0,1), a3 = (1, 1,0), B₁ = (1,0,0), B₂ = (1,1,0), B3 = (1, 1, 1), what is the matrix [T]B-B?
Transcribed Image Text:(i) Consider T: R³ R³ defined by T(T1, T2, T3) = (x₁, I₁+I₂, X₁ + x₂ + x3). If B = {₁, ₂, 3} and B' = {B₁, B2, B3}, where a₁ = (0, 1, 1), a₂ = (1,0,1), a3 = (1, 1,0), B₁ = (1,0,0), B₂ = (1,1,0), B3 = (1, 1, 1), what is the matrix [T]B-B?
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