Let T R³ →→→ R³ be a linear transformation such that T(1,0,0) (2, 4, -1), T(0, 1, 0) = (1, 3, —2) and T(0, 0, 1) = (0,−2,2). Find T(7, 1, −5). =

Elementary Linear Algebra (MindTap Course List)
8th Edition
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Author:Ron Larson
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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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Let T: R³
R³ be a linear transformation such that T(1,0,0)
(2, 4,-1), T(0, 1, 0) = (1, 3, —2) and T(0, 0, 1) = (0, −2, 2). Find T(7, 1, −5).
=
Transcribed Image Text:Let T: R³ R³ be a linear transformation such that T(1,0,0) (2, 4,-1), T(0, 1, 0) = (1, 3, —2) and T(0, 0, 1) = (0, −2, 2). Find T(7, 1, −5). =
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