Solution Found!
Which of the following binary operations are closeda.
Chapter 2, Problem 1E(choose chapter or problem)
QUESTION:
Which of the following binary operations are closed?
a. subtraction of positive integers
b. division of nonzero integers
c. function composition of polynomials with real coefficients
d. multiplication of 2 X 2 matrices with integer entries
Questions & Answers
QUESTION:
Which of the following binary operations are closed?
a. subtraction of positive integers
b. division of nonzero integers
c. function composition of polynomials with real coefficients
d. multiplication of 2 X 2 matrices with integer entries
ANSWER:
Step 1 of 4
a) The set of positive integers is not a close set for subtraction since but hence but so although and , .