Let {u1 (x) = -3, u2 (x) = 12x, uz (x) = –8x² } be a basis for a subspace of P2. Use the Gram-Schmidt process to find an orthogonal basis under the integration inner product (f, g) = | f(x)g(x) dæ on C[0, 1]. Orthogonal basis: {v1 (x) = –3, v2 (x) = 12x + a, v3 (x) = -8x? + bx + c} a = Ex: 1.23 b = Ex: 1.23 c = Ex: 1.23

Let {u1 (x) = -3, u2 (x) = 12x, uz (x) = –8x² } be a basis for a subspace of P2. Use the Gram-Schmidt process to find an orthogonal basis under the integration inner product (f, g) = | f(x)g(x) dæ on C[0, 1]. Orthogonal basis: {v1 (x) = –3, v2 (x) = 12x + a, v3 (x) = -8x? + bx + c} a = Ex: 1.23 b = Ex: 1.23 c = Ex: 1.23

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.1: Inner Product Spaces

Problem 38EQ

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