Let L be the operator on P3 defined by L(p(x)) = xp_ (x) + p__ (x) (a) Find the matrix A

Chapter 4, Problem 5

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Let L be the operator on P3 defined by L(p(x)) = xp_ (x) + p__ (x) (a) Find the matrix A representing L with respect to [1, x, x2]. (b) Find the matrix B representing L with respect to [1, x, 1 + x2]. (c) Find the matrix S such that B = S1AS. (d) If p(x) = a0 + a1x + a2(1 + x2), calculate Ln(p(x)).

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