Let e₁= (1,0), e₂ = (0, 1), ₁ = (1, -1) and ₂ = (-7,-3). Let T: R² → R² be a linear transformation that sends ₁ to ₁ and 2 to 72. If T maps (-9, 4) to the vector 7, then (Enter your answer as an ordered pair, such as (1,2), including the parentheses.)
Let e₁= (1,0), e₂ = (0, 1), ₁ = (1, -1) and ₂ = (-7,-3). Let T: R² → R² be a linear transformation that sends ₁ to ₁ and 2 to 72. If T maps (-9, 4) to the vector 7, then (Enter your answer as an ordered pair, such as (1,2), including the parentheses.)
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 e₁= (1,0), e₂ = (0, 1), ₁ = (1, -1) and ₂ = (-7,-3).
Let T: R² → R² be a linear transformation that sends ₁ to ₁ and 2 to 2. If T maps (-9, 4) to the
vector 7, then
(Enter your answer as an ordered pair, such as (1,2), including the parentheses.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3af7361a-d255-4662-917d-2558b30f893a%2F1f7679d2-2da1-4bda-95a8-88aa9b69570a%2F0qujud_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let e₁= (1,0), e₂ = (0, 1), ₁ = (1, -1) and ₂ = (-7,-3).
Let T: R² → R² be a linear transformation that sends ₁ to ₁ and 2 to 2. If T maps (-9, 4) to the
vector 7, then
(Enter your answer as an ordered pair, such as (1,2), including the parentheses.)
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