Math / Linear Algebra 4 / Chapter 6.2 / Problem 21

Linear Algebra | 4th Edition | ISBN: 9780130084514 | Authors: Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Spence

Let V = C([-l, 1]) with the inner product (f,g) = f \ f(t)g(t)dt, and let W be the

Chapter 6, Problem 21

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Let V = C([-l, 1]) with the inner product (f,g) = f \ f(t)g(t)dt, and let W be the subspace P2(i?), viewed as a space of functions. Use the orthonormal basis obtained in Example 5 to compute the "best" (closest) second-degree polynomial approximation of the function h(t) = e l on the interval [1,1].

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Let V = C([-l, 1]) with the inner product (f,g) = f \ f(t)g(t)dt, and let W be the

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Let V = C([-l, 1]) with the inner product (f,g) = f \ f(t)g(t)dt, and let W be the

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