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.3 Prove that the polynomial functions p.g.r is a basis for PAi.e. for the linear space spanned by the polynomial funetions of degree at most equal to 2. Also, find the coordinates of the polynomial function t relative to the ordered basis p.q.r. p(z) = -1- q(x) = 3+2r r(r) =1- t(x) = -3+ 5r + %3D

.3 Prove that the polynomial functions p.g.r is a basis for PAi.e. for the linear space spanned by the polynomial funetions of degree at most equal to 2. Also, find the coordinates of the polynomial function t relative to the ordered basis p.q.r. p(z) = -1- q(x) = 3+2r r(r) =1- t(x) = -3+ 5r + %3D

Advanced Engineering Mathematics
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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Prove that the polynomial functions p. q.r is a basis for Pi.e. for the lineur space spanned by the polynomial funetions of degree at most equal to 2. Also, find the coordinates of the polynomial function t relative to the ordered basis p. 4.r. A.3 p(x) = -1- q(1) = 3+2r r(r) =1- t(x) = -3+ 5x + z2 %3D
Transcribed Image Text:Prove that the polynomial functions p. q.r is a basis for Pi.e. for the lineur space spanned by the polynomial funetions of degree at most equal to 2. Also, find the coordinates of the polynomial function t relative to the ordered basis p. 4.r. A.3 p(x) = -1- q(1) = 3+2r r(r) =1- t(x) = -3+ 5x + z2 %3D
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