Which of the following is a linear transformation from R2 to R ? a) T(a, b) = (a,0, b²) b) T(a, b) = (1, a + b,-b) c) T(a, b) = (a – b, ab, a + b) d) T(a, b) = (a, a + b,-a)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Which of the following is a linear transformation from R2 to R3?
a) T(a, b) = (a,0, b²)
b) T(а,b) %3D (1, а + b, -b)
c) T(a, b) = (a – b, ab, a + b)
d) T(a,b) 3D (а, а + b, -а)
Transcribed Image Text:Which of the following is a linear transformation from R2 to R3? a) T(a, b) = (a,0, b²) b) T(а,b) %3D (1, а + b, -b) c) T(a, b) = (a – b, ab, a + b) d) T(a,b) 3D (а, а + b, -а)
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