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) Let T : R? → R? be a linear transformation that sends the vector u = (5,2) into (2, 1) and maps i = (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(3u) = T(-83) =

) Let T : R? → R? be a linear transformation that sends the vector u = (5,2) into (2, 1) and maps i = (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(3u) = T(-83) =

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 : 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 the following. (Enter your answers as ordered pairs, such as (1,2), including the parentheses.) T(3u) = T(-83) = T(3u – 80)
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 the following. (Enter your answers as ordered pairs, such as (1,2), including the parentheses.) T(3u) = T(-83) = T(3u – 80)
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