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Given B = v1 {(0, 1, 1, 1)} , v2 = {2, 1, –1, –1} , v3 {(1,4, –1,2)} , v4{(6,9,4, 2) B' = wi {(0,8, 8)}, w2 = {-7,8, 1} , wz {(-6,9, 1)} 3 -2 1 0\ 4 = | 1 6 2 1 -3 0 7 1, Fransformation matrix in relation to bases B and B' 1)Check that sets B is a basis of R' and set B' is a basis of R %3D and T : R→ R such that matrix A is the

Given B = v1 {(0, 1, 1, 1)} , v2 = {2, 1, –1, –1} , v3 {(1,4, –1,2)} , v4{(6,9,4, 2) B' = wi {(0,8, 8)}, w2 = {-7,8, 1} , wz {(-6,9, 1)} 3 -2 1 0\ 4 = | 1 6 2 1 -3 0 7 1, Fransformation matrix in relation to bases B and B' 1)Check that sets B is a basis of R' and set B' is a basis of R %3D and T : R→ R such that matrix A is the

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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Given B = v1 {(0, 1, 1, 1)}, v2 = {2, 1, – 1, –-1} , v3 {(1,4, –1, 2)} , v4{(6,9, 4, 2) B' = wi {(0, 8, 8)} , w2 = {-7, 8, 1} , w3 {(-6, 9, 1)} 3 -2 1 0\ 1 6 2 1 and T : R* + R such that matrix A is the -3 0 7 1 transformation matrix in relation to bases B and B' a)Check that sets B is a basis of R' and set B' is a basis of R A =
Transcribed Image Text:Given B = v1 {(0, 1, 1, 1)}, v2 = {2, 1, – 1, –-1} , v3 {(1,4, –1, 2)} , v4{(6,9, 4, 2) B' = wi {(0, 8, 8)} , w2 = {-7, 8, 1} , w3 {(-6, 9, 1)} 3 -2 1 0\ 1 6 2 1 and T : R* + R such that matrix A is the -3 0 7 1 transformation matrix in relation to bases B and B' a)Check that sets B is a basis of R' and set B' is a basis of R A =
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