(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
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ISBN:9780470458365
Author:Erwin Kreyszig
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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 €
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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