Show that the function defines an inner product for polynomials p(x) = a0 + a1x + . . . + anxn and q(x) = b0 + b1x + . . . + bnxn. ⟨ p, q⟩ = a0b0 + a1b1 + . . . + anbn in Pn
Show that the function defines an inner product for polynomials p(x) = a0 + a1x + . . . + anxn and q(x) = b0 + b1x + . . . + bnxn. ⟨ p, q⟩ = a0b0 + a1b1 + . . . + anbn in Pn
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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Show that the function defines an inner product for polynomials p(x) = a0 + a1x + . . . + anxn and q(x) = b0 + b1x + . . . + bnxn.
⟨ p, q⟩ = a0b0 + a1b1 + . . . + anbn in Pn
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