25) Show that the linear transformation T(x, y, z) = (x - 2y, -x+y+z, x+y) is n isomorphism, and find a formula for the inverse transformation T-¹.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.
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(25) Show that the linear transformation T(x, y, z) = (x - 2y, -x+y+z, x+y) is
an isomorphism, and find a formula for the inverse transformation T-¹.
Transcribed Image Text:(25) Show that the linear transformation T(x, y, z) = (x - 2y, -x+y+z, x+y) is an isomorphism, and find a formula for the inverse transformation T-¹.
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