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Math / Linear Algebra and Its Applications 5 / Chapter 4.5 / Problem 23E

Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay; Steven R. Lay; Judi J. McDonald

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Let be the basis of 3 consisting of the Hermite

Chapter 4, Problem 23E

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QUESTION:

Let be the basis of ?3 consisting of the Hermite polynomials in Exercise, and let p(t) = 7 – 12t – 8t2 + 12t3. Find the coordinate vector of p relative to .ExerciseThe 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.2 Show that the first four Hermite polynomials form a basis of ?3.

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QUESTION:

Let be the basis of ?3 consisting of the Hermite polynomials in Exercise, and let p(t) = 7 – 12t – 8t2 + 12t3. Find the coordinate vector of p relative to .ExerciseThe 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.2 Show that the first four Hermite polynomials form a basis of ?3.

ANSWER:

Solution 23EStep 1 of 4

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