Let T : R2 → R² be the linear transformation given by T(a,b) = (2a + b, a – b). Let 3 = [(1,0), (0, 1)] and B' = [(1, 1), (0, 1)] and x = (2, – 1). Calculate [T]% and [x];'
Let T : R2 → R² be the linear transformation given by T(a,b) = (2a + b, a – b). Let 3 = [(1,0), (0, 1)] and B' = [(1, 1), (0, 1)] and x = (2, – 1). Calculate [T]% and [x];'
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 : R2 → R² be the linear transformation given by T(a,b) = (2a + b, a – b).
Let 3 = [(1,0), (0, 1)] and B' = [(1, 1), (0, 1)] and x =
(2, – 1).
Calculate [T]% and [x];'](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16afeea3-ad60-4ec3-bf54-595dcafdf357%2F448f6f18-bfa7-4316-908e-3b60a2e322e5%2Fcp025u_processed.png&w=3840&q=75)
Transcribed Image Text:Let T : R2 → R² be the linear transformation given by T(a,b) = (2a + b, a – b).
Let 3 = [(1,0), (0, 1)] and B' = [(1, 1), (0, 1)] and x =
(2, – 1).
Calculate [T]% and [x];'
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