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› Let T: R² → R² be a linear transformation that sends the vector u = (5,2) into (2, 1) and maps 7 = (1,3) into (-1,3). Use properties of a linear transformation to calculate the following. (Enter your answers as ordered pairs, such as (1,2), including the parentheses.) T(5u) = T(-9v) = = T(5ū - 9v) =

› Let T: R² → R² be a linear transformation that sends the vector u = (5,2) into (2, 1) and maps 7 = (1,3) into (-1,3). Use properties of a linear transformation to calculate the following. (Enter your answers as ordered pairs, such as (1,2), including the parentheses.) T(5u) = T(-9v) = = T(5ū - 9v) =

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 ū = (5,2) into (2, 1) and maps 7 = (1, 3) into (-1,3). Use properties of a linear transformation to calculate the following. (Enter your answers as ordered pairs, such as (1,2), including the parentheses.) T(5u) = T(-97) = T(5ú - 9v) =
Transcribed Image Text:› Let T : R² → R² be a linear transformation that sends the vector ū = (5,2) into (2, 1) and maps 7 = (1, 3) into (-1,3). Use properties of a linear transformation to calculate the following. (Enter your answers as ordered pairs, such as (1,2), including the parentheses.) T(5u) = T(-97) = T(5ú - 9v) =
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