(d) In the vector space R[x] over R, let U = {p = R[x] : p(0) = 0} and W = {p € R[x] p(1)=0}. Is U+W a direct sum? What is U + W?
(d) In the vector space R[x] over R, let U = {p = R[x] : p(0) = 0} and W = {p € R[x] p(1)=0}. Is U+W a direct sum? What is U + W?
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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![(d) In the vector space R[x] over R, let U = {p
R[x] p(1) 0}. Is U + W a direct sum? What is U + W?
=
R[x]: p(0) = 0} and W = {p €](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4061eb31-6ba2-4539-9b51-dd7b05481e7e%2Fb962cebe-2c79-40b9-a87c-738b2e91f9f8%2F5imezes_processed.png&w=3840&q=75)
Transcribed Image Text:(d) In the vector space R[x] over R, let U = {p
R[x] p(1) 0}. Is U + W a direct sum? What is U + W?
=
R[x]: p(0) = 0} and W = {p €
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