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Let T : R? → R² be a linear transformation that sends the vector u = (5, 2) into (2, 1) and maps v = into (-1,3). Use properties of a linear transformation to calculate (1,3) 6. T(4и) — ( ), T-7υ) ( %3D Т(4и — 70) —D (

Let T : R? → R² be a linear transformation that sends the vector u = (5, 2) into (2, 1) and maps v = into (-1,3). Use properties of a linear transformation to calculate (1,3) 6. T(4и) — ( ), T-7υ) ( %3D Т(4и — 70) —D (

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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(4u) = ( 8, ), 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(4u) = ( 8, ), T(-7v) = ( T(4и — 70) — (
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