Let T : R? → R² be a linear transformation that sends the vector u = (5, 2) into (2, 1) and maps v = (1, 3) into (-1,3). Use properties of a linear transformation to calculate T(4u) = ( P, ), T(-7v) = ( T(4и — 70) — (

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 3CM: Let T:RnRm be the linear transformation defined by T(v)=Av, where A=[30100302]. Find the dimensions...
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Chapter 2.1

Let T: R2 → R² be a linear transformation that sends the vector u =
(5, 2) into (2, 1) and maps v = (1,3)
into (-1,3). Use properties of a linear transformation to calculate
T(4и) — (
P, ), T(-7v) = (
T(4и — 70) — (
Transcribed Image Text:Let T: R2 → R² be a linear transformation that sends the vector u = (5, 2) into (2, 1) and maps v = (1,3) into (-1,3). Use properties of a linear transformation to calculate T(4и) — ( P, ), T(-7v) = ( T(4и — 70) — (
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