Define T by T: Pn → Pn-k by T(p) = dk p(x) dxk 9 where P is the set of all polynomials whose degree less than or equal to n. Find the kernel of T.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Define T by T: Pn → Pn-k by
T(p)
=
d* p(x)
dxk
9
where Pn is the set of all polynomials whose degree less than or equal to n. Find the
kernel of T.
Transcribed Image Text:Define T by T: Pn → Pn-k by T(p) = d* p(x) dxk 9 where Pn is the set of all polynomials whose degree less than or equal to n. Find the kernel of T.
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