View the step-by-step solution to:

determine whether the given function is a linear transformation by showing proofs.

determine whether the given function is a linear transformation by showing proofs.

T:P2->P2, defined by T(p(x))= p'(x)+x^2

(P2 means polynomial 2
p'(x) means derivative of p
x^2 means x squared)

Top Answer

Dear Student,... View the full answer

solution2(3).pdf

Let p(x) and q (x) be two polynomials ∈ P2 , then
T (a.p(x) + b.q (x)) = d
(a.p(x) + bq (x)) + x2
dx = a.p (x) + b.q (x) + x2
On the other hand we have
a.T (p(x)) + b.T (q (x)) = a.p (x) + bq (x)...

Sign up to view the full answer

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

-

Educational Resources
  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

    Browse Documents
  • -

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question
Ask a homework question - tutors are online