The first derivative D: P₂ (R) → P₁ (R) such that D(p) = p' for every p = P₂ (R) is a linear map. Find [D] where B = (1, x, x²) and в determine whether if D is an isomorphism. [D]B [D]B= [D]B B = = [D]B = 0 2 0 (839) 0 0 1 02 0 (839) 00 1 0 0 1 0 0 2 0 1 0 00 2 D is an isomorphism D is not an isomorphism D is an isomorphism D is not an isomorphism

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The first derivative D : P₂ (R) → P₁ (R) such that D(p) = p' for every p = P₂ (R) is a linear map. Find [D] where B = (1, x, x²) and
determine whether if D is an isomorphism.
[D]s = (8
B
0
B =
[D]B
-
0
2 0
0 0 1
0
2 0
1
0
0
1 0
0
2
1 0
0
2
D is an isomorphism
D is not an isomorphism
D is an isomorphism
D is not an isomorphism
Transcribed Image Text:The first derivative D : P₂ (R) → P₁ (R) such that D(p) = p' for every p = P₂ (R) is a linear map. Find [D] where B = (1, x, x²) and determine whether if D is an isomorphism. [D]s = (8 B 0 B = [D]B - 0 2 0 0 0 1 0 2 0 1 0 0 1 0 0 2 1 0 0 2 D is an isomorphism D is not an isomorphism D is an isomorphism D is not an isomorphism
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