Finding Inner Product, Length, and Distance In Exercises 3538, find (a) p, q, (b) ) p)
Chapter 5, Problem 36(choose chapter or problem)
Finding Inner Product, Length, and Distance In Exercises 35 - 38, find (a) \(\langle p, q\rangle\), (b) \(||p||\), (c) \(||q||\), and (d) \(d(p, q)\) for the polynomials in \(P_{2}\) using the inner product \(\langle p, q\rangle=a_{0} b_{0}+a_{1} b_{1}+a_{2} b_{2}\)
\(p(x)=1+x+\frac{1}{2} x^{2}, \quad q(x)=1+2 x^{2}\)
Text Transcription:
langle p, q rangle
||p||
||q||
d(p, q)
P_2
langle p, q rangle = a_0 b_0 + a_1 b_1 + a_2 b_2
p(x) = 1 + x + 1 / 2 x^2, q(x) = 1 + 2x^2
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