Let the linear transformation T : R → R³ be such that T(-2, 1) 3 (-1, 2,0) and T(1,3) %3 Т(0, —3, 5). Find a formula for T(x, y)and use that formula to get Т2, -3).
Let the linear transformation T : R → R³ be such that T(-2, 1) 3 (-1, 2,0) and T(1,3) %3 Т(0, —3, 5). Find a formula for T(x, y)and use that formula to get Т2, -3).
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 44E: Let T:P2P4 be the linear transformation T(p)=x2p. Find the matrix for T relative to the bases...
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![Let the linear transformation T : R + R³ be such that
T(-2, 1) 3 (-1, 2,0) and T(1,3) — Т(0, —3, 5).
Find a formula for T(x, y)and use that formula to get
T(2, –3).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4766698-983f-4953-886e-01c90eae0a54%2F034ab286-913d-4b66-b358-8525036be868%2Fcztzgif_processed.png&w=3840&q=75)
Transcribed Image Text:Let the linear transformation T : R + R³ be such that
T(-2, 1) 3 (-1, 2,0) and T(1,3) — Т(0, —3, 5).
Find a formula for T(x, y)and use that formula to get
T(2, –3).
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