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) = ( ), T(9v) = ( T(-4и + 9u) — (

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
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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Let T : R? -
→ R? 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) = (
8
), T(9v) = (
T(-4и + 9u) — (
Transcribed Image Text:Let T : R? - → R? 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) = ( 8 ), T(9v) = ( T(-4и + 9u) — (
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