Exercises 6.1 In Exercises 1-8, show that the given set of functions is orthogonal with respect to the given weight on the prescribed interval. 1. 1, sin zx, cos aX, sin 2zx, cos 2nX, sin 37zx, COS 3zX, ...; w(x) = 1 on [0, 21. eton, goo is an odd function, w(x) = 1 on any symmetric intervar abour O e afe examples of Chebyshev poty nrst kind. See Exercises 6.2 for further details.) 4. -3x + 4x, 1 – 8x2 + 8x; w(r) = on [-1, 1].

Exercises 6.1 In Exercises 1-8, show that the given set of functions is orthogonal with respect to the given weight on the prescribed interval. 1. 1, sin zx, cos aX, sin 2zx, cos 2nX, sin 37zx, COS 3zX, ...; w(x) = 1 on [0, 21. eton, goo is an odd function, w(x) = 1 on any symmetric intervar abour O e afe examples of Chebyshev poty nrst kind. See Exercises 6.2 for further details.) 4. -3x + 4x, 1 – 8x2 + 8x; w(r) = on [-1, 1].

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.2: Linear Independence, Basis, And Dimension

Problem 11EQ

See similar textbooks