Let B be the basis of P 3 consisting of the Hermite polynomials in Exercise 27, and
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Let B be the basis of P3 consisting of the Hermite polynomials in Exercise 27, and let p(t) = 7 - 12t - 8t2 + 12t3. Find the coordinate vector of p relative to B.
Data from in Exercise 27
The first four Hermite polynomials are 1, 2t, - 2 + 4t2, and -12t + 8t3. These polynomials arise naturally in the study of certain important differential equations in mathematical physics. Show that the first four Hermite polynomials form a basis of P3.
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The coordinates of pt 712t8t 127 with respect to B sa...View the full answer
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Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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