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(-3u) = ( T(-3u +9v) =( " 9 " 10 7 ), T(9v) = ( )

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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(-3u) = (
T(-3u +9v) = (
"
"
"
), T(9v) = (
)
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(-3u) = ( T(-3u +9v) = ( " " " ), T(9v) = ( )
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