Answered: Find a basis B for the T domain such…

Find a basis B for the T domain such that the T matrix relative to B is diagonal. T: R^3 → R^3: T(x, y, z) = (−4x + 2y − 3z, 2x − y − 6z, −x − 2y − 2z)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...

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Question

Find a basis B for the T domain such that the T matrix relative to B is diagonal.
T: R^3 → R^3: T(x, y, z) = (−4x + 2y − 3z, 2x − y − 6z, −x − 2y − 2z)

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