Let Pn be the vector space of all polynomials of degree n or less in the variable x. Let D : P3 → P2 be the linear transformation defined by D(p(x)) = p' (x). That is, D is the derivative operator. Let {1, æ, x², æ³}, {1, x, a?}, B C be ordered bases for P3 and P2, respectively. Find the matrix D]E for D relative to the basis B in the domain and C in the codomain. [DE =
Let Pn be the vector space of all polynomials of degree n or less in the variable x. Let D : P3 → P2 be the linear transformation defined by D(p(x)) = p' (x). That is, D is the derivative operator. Let {1, æ, x², æ³}, {1, x, a?}, B C be ordered bases for P3 and P2, respectively. Find the matrix D]E for D relative to the basis B in the domain and C in the codomain. [DE =
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.4: Orthogonal Diagonalization Of Symmetric Matrices
Problem 13EQ
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