Answered: Let T: P3 (R) ⟶ R, given by T(p(x)) =…

Let T: P3 (R) ⟶ R, given by T(p(x)) = ∫10 p(x)dx. The matrix of T with respect to the canonical bases of P3(R) and R is: Choose an option:

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

Let T: P₃ (R) ⟶ R, given by T(p(x)) = ∫¹₀ p(x)dx. The matrix of T with respect to the canonical bases of P3(R) and R is:

Choose an option:

1
a. [T] =
1
3
O b. [T] =
1
1
O c. [T] =
3
2
1
O d. [T] =
2
3
1

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