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Which of the following operators in R'are linear? 1. T(x) = (8x2, -5x, -9x) %3D 2 T(x) = (10x; - 7x2 + 3x, 6x2 -4x, -8x, - 2x) v 3 T(x) = (2x -X2, 9x3, x) 4. T(x) = (4, 8, 5) 5. T(x) = (x, 10x, x3)

Which of the following operators in R'are linear? 1. T(x) = (8x2, -5x, -9x) %3D 2 T(x) = (10x; - 7x2 + 3x, 6x2 -4x, -8x, - 2x) v 3 T(x) = (2x -X2, 9x3, x) 4. T(x) = (4, 8, 5) 5. T(x) = (x, 10x, x3)

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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Which of the following operators in R are linear? - 1. T(x) = (8x2, -Sx, -9x,)" 2 T(x) - (10x - 7x2 +3x3, 6x - 4x3, -8x - 2x2)" v 3. T(x) = (2x x2, 9x3, x) v 4. T(x) = (4, 8, 5) v 5. T(x) = (x, 10x, x3)
Transcribed Image Text:Which of the following operators in R are linear? - 1. T(x) = (8x2, -Sx, -9x,)" 2 T(x) - (10x - 7x2 +3x3, 6x - 4x3, -8x - 2x2)" v 3. T(x) = (2x x2, 9x3, x) v 4. T(x) = (4, 8, 5) v 5. T(x) = (x, 10x, x3)
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