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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];'

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
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];'
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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