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Consider the vector  space of all polynomials \(p(t)\) of degree less than or 5 with inner product
\[((p,q) = \int_{-1}^1 p(t) q(t) \, t^2\, dt \]  Is the operator \[ A p(t) = \frac{ d p(t)} {dt}\]
self adjoint?

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4727:Diamond Point

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