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) — (
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) — (
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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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) — (](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa2316af-86e3-443c-8f32-e7940f48330d%2F357ade5e-3a6f-4319-9220-868b25702ee2%2F0vus2hs_processed.png&w=3840&q=75)
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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