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Problem 5. L(x) = Let Let L: R³ R³ be the linear transformation defined by [L] = -1 5 4 3 1 0 5 0 -4 X. B = с = {(0, -1, 1), (0, 0, 1), (1, 1, 0)), be two different bases for R³. Find the matrix [L] for L relative to the basis B in the domain and C in the codomain. {(2,-1,-1), (-2, 0, 1), (1, -1,0)},

Problem 5. L(x) = Let Let L: R³ R³ be the linear transformation defined by [L] = -1 5 4 3 1 0 5 0 -4 X. B = с = {(0, -1, 1), (0, 0, 1), (1, 1, 0)), be two different bases for R³. Find the matrix [L] for L relative to the basis B in the domain and C in the codomain. {(2,-1,-1), (-2, 0, 1), (1, -1,0)},

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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Problem 5. L(x) = Let 3 Let L: R³ → R³ be the linear transformation defined by B = с = [L] = −1 3 5 0 4 0 {(2,-1,-1), (-2, 0, 1), (1,-1,0)), {(0, -1, 1), (0, 0, 1), (1, 1, 0)), be two different bases for R3³. Find the matrix [L] for L relative to the basis B3 in the domain and C in the codomain. 1 5 X.
Transcribed Image Text:Problem 5. L(x) = Let 3 Let L: R³ → R³ be the linear transformation defined by B = с = [L] = −1 3 5 0 4 0 {(2,-1,-1), (-2, 0, 1), (1,-1,0)), {(0, -1, 1), (0, 0, 1), (1, 1, 0)), be two different bases for R3³. Find the matrix [L] for L relative to the basis B3 in the domain and C in the codomain. 1 5 X.
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