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Which of the following binary operations are associativea.

Chapter 2, Problem 2E

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QUESTION:

Problem 2E

Which of the following binary operations are associative?

a. multiplication mod n

b. division of nonzero rationals

c. function composition of polynomials with real coefficients

d. multiplication of 2 × 2 matrices with integer entries

Questions & Answers

QUESTION:

Problem 2E

Which of the following binary operations are associative?

a. multiplication mod n

b. division of nonzero rationals

c. function composition of polynomials with real coefficients

d. multiplication of 2 × 2 matrices with integer entries

ANSWER:

Step 1 of 4

a) The operation of multiplication mod  is associative since

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