[p(1) 5. Let T: P2 - R? be the linear transformation defined by T(p) = : a) Calculate T(p), where (t) = t2 – 3t + 7. b) Find a polynomial q which spans the kernel of T.
[p(1) 5. Let T: P2 - R? be the linear transformation defined by T(p) = : a) Calculate T(p), where (t) = t2 – 3t + 7. b) Find a polynomial q which spans the kernel of T.
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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![5. Let T: P, → R? be the linear transformation defined by T(p) =
[p(1)*
\p'(2).
a)
Calculate T(p), where (t) = t² – 3t + 7.
b)
Find a polynomial q which spans the kernel of T.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30be6a7d-0bf4-42a4-a2b3-959bd20ac203%2F5a4ab5bb-df6c-44cd-9e8a-9f96c6e3b20d%2F7swc5wd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. Let T: P, → R? be the linear transformation defined by T(p) =
[p(1)*
\p'(2).
a)
Calculate T(p), where (t) = t² – 3t + 7.
b)
Find a polynomial q which spans the kernel of T.
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