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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 22E

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Question

Ll.118.

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
B
C
{1, x, x², x³},
-
{−2+x+x²,2 − 2x − x², 1+x},
be ordered bases for P3 and P2, respectively. Find the matrix
[D] for D relative to the basis B in the domain and C in the
codomain.
[D] =
0000
0000
0000

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