Chapter 14.7, Problem 24CE

To determine

To name an important difference between product of numbers and product of transformations

Explanation of Solution

For product of numbers:

(a) 1 is the identity.

(b) $a\cdot 1=a\text{ and }1\cdot a=a$

For product of numbers:

(a) $I$ is the identity

(b) $S\circ I=S\text{ and }I\circ S=S$