Let V={a0+a1 x+a2 x2 | a0, a1, a2∈R} be a vector space of polynomial up to degree three, and p(x)=p0+p1 x+p2 x2, q(x)=q0+q1 x+q2 x2∈V then =p0.q0+2 p1.q1−p2.q2 is an inner product True or False
Let V={a0+a1 x+a2 x2 | a0, a1, a2∈R} be a vector space of polynomial up to degree three, and p(x)=p0+p1 x+p2 x2, q(x)=q0+q1 x+q2 x2∈V then =p0.q0+2 p1.q1−p2.q2 is an inner product True or False
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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Let V={a0+a1 x+a2 x2 | a0, a1, a2∈R} be a vector space of polynomial up to degree three, and p(x)=p0+p1 x+p2 x2, q(x)=q0+q1 x+q2 x2∈V then <p(x), q(x)>=p0.q0+2 p1.q1−p2.q2
is an inner product True or False?
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