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4) For which one of these linear maps T:R → R? is det T > 0? a) T(1, y) = (y, -r) b) T(1, y) = (x, -y) c) T(1, y) = (y, x) d) T(1, y) = (-1, y) e) T(1, y) = (-y,1) f) T(1, y) = (r,0)

4) For which one of these linear maps T:R → R? is det T > 0? a) T(1, y) = (y, -r) b) T(1, y) = (x, -y) c) T(1, y) = (y, x) d) T(1, y) = (-1, y) e) T(1, y) = (-y,1) f) T(1, y) = (r,0)

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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4) For which one of these linear maps T: R? → R² is det T > 0? a) T(x, y) = (y, –x) b) T(x, y) = (x, -y) c) T(r, y) = (y, x) d) T(x, y) = (-x, y) e) T(1, y) = (-y, x) f) T(r, y) = (x,0)
Transcribed Image Text:4) For which one of these linear maps T: R? → R² is det T > 0? a) T(x, y) = (y, –x) b) T(x, y) = (x, -y) c) T(r, y) = (y, x) d) T(x, y) = (-x, y) e) T(1, y) = (-y, x) f) T(r, y) = (x,0)
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