15. fi = 1+ 2x – 2x2, f2 = 2 + 3x – 4x2, f3 = 1+4x – x2, B = (f1, f2; f3). 1 T(fi) = 3. 2. ,T(f2) = ( ‚T(f3) 8. 10 16. B = (mu mo where

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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Compute the images of the standard basis vectors with respect to the given linear transformation.

15. fi = 1+ 2x – 2x2, f2 = 2+ 3.x – 4x2, f3 = 1+ 4x
–
x²,B = (f1, f2; f3).
%3D
-
%3D
|
1
T(fi) =
3
2.
1
T(f2)
1
4
T(f3)
8.
%3D
%3D
5
10
16. B = (mu m
) where
|
m
Transcribed Image Text:15. fi = 1+ 2x – 2x2, f2 = 2+ 3.x – 4x2, f3 = 1+ 4x – x²,B = (f1, f2; f3). %3D - %3D | 1 T(fi) = 3 2. 1 T(f2) 1 4 T(f3) 8. %3D %3D 5 10 16. B = (mu m ) where | m
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