(4) If p(x) = ao + a₁ + a₂(1 + x²), calculate L" (p(x)).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Answer part (4)only
23:08
7 November
15:31
7. Let L be the operator on P[r]3 defined by
-Fach of t
1-[20
5G 54
Edit
L(p(x)) = xp'(x) +p"(x)
(1) Find the matrix A representing with respect to [1, x, x²].
(2) Find the matrix B representing with respect to [1, x, 1 + x²].
(3) Find the matrix S such that B = S-¹AS.
(4) If p(x) = a₁ + a₁ + a₂(1 + x²), calculate L" (p(x)).
UJ
(4
Transcribed Image Text:23:08 7 November 15:31 7. Let L be the operator on P[r]3 defined by -Fach of t 1-[20 5G 54 Edit L(p(x)) = xp'(x) +p"(x) (1) Find the matrix A representing with respect to [1, x, x²]. (2) Find the matrix B representing with respect to [1, x, 1 + x²]. (3) Find the matrix S such that B = S-¹AS. (4) If p(x) = a₁ + a₁ + a₂(1 + x²), calculate L" (p(x)). UJ (4
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