Let T: R³ R³ be a linear transformation such that 7(1, 1, 1) = (2, 0, -1), 7(0, -1, 2) = (-5, 5, -1), and 7(1, 0, 1) = (1, 1, 0). Find the indicated image. T(2, -1, 1) T(2, 1, 1) (-1,7, - 2) X

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 23E: Let T be a linear transformation from R2 into R2 such that T(1,0)=(1,1) and T(0,1)=(1,1). Find...
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Let T: R³ R³ be a linear transformation such that 7(1, 1, 1) = (2, 0, -1), 7(0, -1, 2) = (-5, 5, -1), and 7(1, 0, 1) = (1, 1, 0). Find the indicated image.
T(2, -1, 1)
T(2, 1, 1) = (-1, 7, - 2)
X
Transcribed Image Text:Let T: R³ R³ be a linear transformation such that 7(1, 1, 1) = (2, 0, -1), 7(0, -1, 2) = (-5, 5, -1), and 7(1, 0, 1) = (1, 1, 0). Find the indicated image. T(2, -1, 1) T(2, 1, 1) = (-1, 7, - 2) X
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