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Let é1 = (1,0), e2 = (0, 1), #1 = (-7,4) and #2 = (7,–9). %3D Let T : R? → R² be a linear transformation that sends ei to a1 and ez to #2. If T maps (2, –8) to the vector y, then (Enter your answer as an ordered pair, such as (1,2), including the parentheses.)

Let é1 = (1,0), e2 = (0, 1), #1 = (-7,4) and #2 = (7,–9). %3D Let T : R? → R² be a linear transformation that sends ei to a1 and ez to #2. If T maps (2, –8) to the vector y, then (Enter your answer as an ordered pair, such as (1,2), including the parentheses.)

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 é1 = (1,0), e2 = (0, 1), #1 = (-7,4) and #2 = (7,–9). %3D Let T : R? → R² be a linear transformation that sends ei to a1 and ez to #2. If T maps (2, –8) to the vector y, then (Enter your answer as an ordered pair, such as (1,2), including the parentheses.)
Transcribed Image Text:Let é1 = (1,0), e2 = (0, 1), #1 = (-7,4) and #2 = (7,–9). %3D Let T : R? → R² be a linear transformation that sends ei to a1 and ez to #2. If T maps (2, –8) to the vector y, then (Enter your answer as an ordered pair, such as (1,2), including the parentheses.)
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