10. Supposed that T: P»P, be a linear transformation where T(1) = 1+ x*, T(x) = x² – x³, T(x³) = 2 + x'. Find 7(3 – 2x + 4x). A. 13-x + 6x B. 9+x - 6x C. 11+x + 6x D. None of the above

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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10. Supposed that T: P,→P3 be a linear transformation where
T(1) = 1+ x, T(x) = x² – x², T(x³) = 2+ x*.
Find T(3 – 2x + 4x?).
A. 13-x + 6x
B. 9+x - 6x
C. 11 +x? + 6x
D. None of the above
Transcribed Image Text:10. Supposed that T: P,→P3 be a linear transformation where T(1) = 1+ x, T(x) = x² – x², T(x³) = 2+ x*. Find T(3 – 2x + 4x?). A. 13-x + 6x B. 9+x - 6x C. 11 +x? + 6x D. None of the above
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