Let V = P(4) denote the space of quartic polynomials, with the L2 inner product Let W
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Let W = P2 be the subspace of quadratic polynomials.
(a) Write down the conditions that a polynomial p ˆŠ P(4) must satisfy in order to belong to the orthogonal complement WŠ¥.
(b) Find a basis for and the dimension of WŠ¥.
(c) Find an orthogonal basis for WŠ¥.
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a p q 1 1 px qx dx 0 for all qx a bx cx 2 or equivalently 1 1 px ...View the full answer
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