Let Q0(x), Q1(x), ... be an orthonormal sequence of polynomials, that is, it is an orthogonal sequence

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Let Q0(x), Q1(x), ... be an orthonormal sequence of polynomials, that is, it is an orthogonal sequence of polynomials and ||Qk|| = 1 for each k.
(a) How can the recursion relation in Theorem 5.7.2 be simplified in the case of an orthonormal sequence of polynomials?
(b) Let A be a root of Qn. Show that λ must satisfy the matrix equation
Let Q0(x), Q1(x), ... be an orthonormal sequence of polynomials,

where the ai's and βj's are the coefficients from the recursion equations.

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