Use the Gram-Schmidt process based on the L2 inner product on [0, 1] to construct a system

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Use the Gram-Schmidt process based on the L2 inner product on [0, 1] to construct a system of orthogonal polynomials of degree < 4. Verify that your polynomials are multiples of the modified Legendre polynomials found in Example 5.34.
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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