Question: 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

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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