In P,, find the change-of-coordinates matrix from the basis B = {1-7,2 +t- 13t2,1 + 6t} to the standard basis. Then write t? as a linear combination of the polynomials in B. In P2, find the change-of-coordinates matrix from the basis B to the standard basis. P = C+B (Simplify your answers.) Write t as a linear combination of the polynomials in B. ? =(1- 712) +(2+t-131²) +[(1 + 6t) (Simplify your answers.)
In P,, find the change-of-coordinates matrix from the basis B = {1-7,2 +t- 13t2,1 + 6t} to the standard basis. Then write t? as a linear combination of the polynomials in B. In P2, find the change-of-coordinates matrix from the basis B to the standard basis. P = C+B (Simplify your answers.) Write t as a linear combination of the polynomials in B. ? =(1- 712) +(2+t-131²) +[(1 + 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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![In P,, find the change-of-coordinates matrix from the basis B= {1-7,2 +t- 1312,1 + 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.
P =
C+B
(Simplify your answers.)
Write t? as a linear combination of the polynomials in B.
? =D(1-72) +(2+t-13²) +[(1 + 6t)
(Simplify your answers.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0867650-b445-489d-98f3-e27e64467d14%2F61a7a7cc-5224-490d-8ca4-86244e0a292a%2Ftwybntu_processed.png&w=3840&q=75)
Transcribed Image Text:In P,, find the change-of-coordinates matrix from the basis B= {1-7,2 +t- 1312,1 + 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.
P =
C+B
(Simplify your answers.)
Write t? as a linear combination of the polynomials in B.
? =D(1-72) +(2+t-13²) +[(1 + 6t)
(Simplify your answers.)
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