In P,, find the change-of-coordinates matrix from the basis B = {1+5t“, - 6 +t- 29t“,1- 6t} to the standard basis. Then write t? as a linear combination of the polynomials in B. In P,, find the change-of-coordinates matrix from the basis B to the standard basis. 1 6 1 P = 1 -6 C-B 29 (Simplify your answer.) Write t? as a linear combination of the polynomials in B. 2=](1+51?) +[(-6+t-29²) +[k1 -6t) (Simplify your answers.)
In P,, find the change-of-coordinates matrix from the basis B = {1+5t“, - 6 +t- 29t“,1- 6t} to the standard basis. Then write t? as a linear combination of the polynomials in B. In P,, find the change-of-coordinates matrix from the basis B to the standard basis. 1 6 1 P = 1 -6 C-B 29 (Simplify your answer.) Write t? as a linear combination of the polynomials in B. 2=](1+51?) +[(-6+t-29²) +[k1 -6t) (Simplify your answers.)
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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Transcribed Image Text:In P,, find the change-of-coordinates matrix from the basis B = {1 + 5t, - 6+t- 29t,1 - 6t} to the standard basis. Then write t as a linear combination of the
polynomials in B.
find the change-of-coordinates matrix from the basis B to the standard basis.
In P2:
1
- 6
1
1
- 6
C-B
5 - 29
(Simplify your answer.)
Write t as a linear combination of the polynomials in B.
? =(1+5?) +(-6+t-291) +1 – 6t)
%3D
(Simplify your answers.)
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