Solution Found!
Define For instance, if a. Show that T is a linear
Chapter 4, Problem 31E(choose chapter or problem)
QUESTION:
Problem 31E
Define For instance, if
a. Show that T is a linear transformation. [Hint: For arbitrary polynomials p, q in , compute
b. Find a polynomial p in that spans the kernel of T , and describe the range of T .
Questions & Answers
QUESTION:
Problem 31E
Define For instance, if
a. Show that T is a linear transformation. [Hint: For arbitrary polynomials p, q in , compute
b. Find a polynomial p in that spans the kernel of T , and describe the range of T .
ANSWER:
Solution 31E
Step 1 of 4
Consider that the mapping defined by .
(a) The objective is to show that T is a linear transformation.
Consider the arbitrary polynomials in.
Let c be any scalar.
To find:
Therefore, is closed under vector addition.