Let H={p € P3: p(0)=p(1)%3D0} be a subspace of P3. Show that 8 = {-2+2t, - is basis for H using coordinate vectors where P3 is isomorphic to R and use the fact that H is isomorphic to R?.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Linear algebra
Let
H= {p € P3 : p(0) = p(1)=0} be a subspace of P3.
Show that 3 = {-2f+2t, -t is basis for
H using coordinate vectors where P, is
isomorphic to R and use the fact that H
is isomorphic to R?.
Transcribed Image Text:Let H= {p € P3 : p(0) = p(1)=0} be a subspace of P3. Show that 3 = {-2f+2t, -t is basis for H using coordinate vectors where P, is isomorphic to R and use the fact that H is isomorphic to R?.
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