Let ?⃗ 1=(1,0)e→1=(1,0), ?⃗ 2=(0,1)e→2=(0,1), ?⃗ 1=(−1,1)x→1=(−1,1) and ?⃗ 2=(7,7)x→2=(7,7) Let T : R2 → R² be a linear transformation that sends e to x1 and e, to x2. If T maps (-9, –2) to the vector y, thenÿ =(Enter your answer as an ordered pair, such as (1,2), including the parentheses.)

Answered: Image /qna-images/answer/b9fcfe47-3049-4727-a674-3caacc96aefd.jpg

Let T : R? → R? be a linear transformation that sends ēj to x1 and e, to x2. If T maps (-9, -2) to the vector then 3 = (Enter your answer as an ordered pair, such as (1,2), including the parentheses.)

Let T : R? → R? be a linear transformation that sends ēj to x1 and e, to x2. If T maps (-9, -2) to the vector then 3 = (Enter your answer as an ordered pair, such as (1,2), including the parentheses.)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 4CM

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Question

Let ?⃗ 1=(1,0)e→1=(1,0), ?⃗ 2=(0,1)e→2=(0,1), ?⃗ 1=(−1,1)x→1=(−1,1) and ?⃗ 2=(7,7)x→2=(7,7)

Let T : R2 → R² be a linear transformation that sends e to x1 and e, to x2. If T maps (-9, –2) to the vector y, then
ÿ =
(Enter your answer as an ordered pair, such as (1,2), including the parentheses.)

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