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(Solved): Problem 3. Let Pn denote the set of polynomials of degree less than or equal to n, and define t ...



Problem 3. Let \( P_{n} \) denote the set of polynomials of degree less than or equal to \( n \), and define the linear trans

Problem 3. Let denote the set of polynomials of degree less than or equal to , and define the linear transformation by Let be a basis of and be a basis of . Find the matrix of with respect to and .


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The linear transformation L is defined as L(p(x))=ddxp(x). In order to determine the matrix for L we first find the image of the elements of S and wri
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