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Show that the map f: R³ R² given by f(x, y, z) = (x+y-z,x - y) is a linear transformation. Is the map f(x, y, z) = (x+y-z, x-y+1) a linear transformation, explain your answer.

Show that the map f: R³ R² given by f(x, y, z) = (x+y-z,x - y) is a linear transformation. Is the map f(x, y, z) = (x+y-z, x-y+1) a linear transformation, explain your answer.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.CR: Review Exercises
Problem 21CR: Let T be a linear transformation from R2 into R2 such that T(4,2)=(2,2) and T(3,3)=(3,3). Find...
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Show that the map f: R³ R² given by →> f(x, y, z) = (x+y-z, x - y) is a linear transformation. Is the map f(x, y, z) = (x+y-z, x-y+1) a linear transformation, explain your answer.
Transcribed Image Text:Show that the map f: R³ R² given by →> f(x, y, z) = (x+y-z, x - y) is a linear transformation. Is the map f(x, y, z) = (x+y-z, x-y+1) a linear transformation, explain your answer.
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