Solution Found!
Let T: P(R) -> P{R) be defined by T(/(x)) = f'(x). Recall that T is linear. Prove that T
Chapter 2, Problem 16(choose chapter or problem)
QUESTION:
Let T: P(R) -> P{R) be defined by T(/(x)) = f'(x). Recall that T is linear. Prove that T is onto, but not one-to-one
Questions & Answers
QUESTION:
Let T: P(R) -> P{R) be defined by T(/(x)) = f'(x). Recall that T is linear. Prove that T is onto, but not one-to-one
ANSWER:Step 1 of 2
To check that T is onto, one must show that every polynomial is the derivative of another polynomial. Indeed, given
Satisfies
