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
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)
6th Edition
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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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b60fa95-9b4b-4fa6-a572-04dc2e43c26e%2F3855e5fd-47f5-4a02-831d-1e8920afdc4f%2F2ul9ubv_processed.jpeg&w=3840&q=75)
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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