Show that 5 defines an inner product on c a, Mathematics

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Show that 5 defines an inner product on c a

Let V be the space C [-1, 1]with the inner product of Example 7. Find an orthogonal basis for the subspace spanned by the polynomials 1, t, and t2. The polynomials in this basis are called Legendre polynomials.

Example 7

Show that (5) defines an inner product on C [a, b]

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Mathematics: Show that 5 defines an inner product on c a

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