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Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.1: Orthogonality In Rn

Problem 34EQ

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Let V be the vector space of polynomials of degree < 2 with real coefficients, endowed with the structure
of an inner product space by setting
(f, g) :=
f)g(t)dt.
Produce an orthonormal basis for V by applying the Gramm-Schmidt orthogonalisation process to the
basis (1, x, x²) of V.

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