Chapter 3: Chapter 3

Problem 32

Let \(\mathrm{M}=\\{1,2\\}\) and \(\mathrm{N}=\\{\mathrm{p}, \mathrm{q}\\} .\) Find (a) \(\mathrm{M} \times \mathrm{N}\) (b) \(\mathrm{N} \times \mathrm{M}\), and (c) \(\mathrm{M} \times \mathrm{M}\)

Short Answer

Expert verified

(a) M x N = \{(1, p), (1, q), (2, p), (2, q)\} (b) N x M = \{(p, 1), (p, 2), (q, 1), (q, 2)\} (c) M x M = \{(1, 1), (1, 2), (2, 1), (2, 2)\}

See the step by step solution

Step by step solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: (a) M x N

To find M x N, we will create ordered pairs where the first element is from set M and the second element is from set N. M = {1, 2} N = {p, q} M x N = {(1, p), (1, q), (2, p), (2, q)}

Step 2: (b) N x M

To find N x M, we will reverse the order of the elements in the pairs. Now, the first element will be from set N and the second element will be from set M. N x M = {(p, 1), (p, 2), (q, 1), (q, 2)}

Step 3: (c) M x M

To find M x M, we will again create ordered pairs, but in this case both elements in the pair will come from set M. M x M = {(1, 1), (1, 2), (2, 1), (2, 2)}

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Recommended explanations on Math Textbooks

Select your language

Chapter 3: Chapter 3

Let \(\mathrm{M}=\\{1,2\\}\) and \(\mathrm{N}=\\{\mathrm{p}, \mathrm{q}\\} .\) Find (a) \(\mathrm{M} \times \mathrm{N}\) (b) \(\mathrm{N} \times \mathrm{M}\), and (c) \(\mathrm{M} \times \mathrm{M}\)

Short Answer

Step by step solution

Unlock all solutions

Step 1: (a) M x N

Step 2: (b) N x M

Step 3: (c) M x M

Access millions of textbook solutions in one place

Most popular questions from this chapter

More chapters from the book ‘Algebra and Trigonometry’

Chapter 1

Chapter 2

Chapter 4

Chapter 5

Chapter 6

Chapter 7

Chapter 8

Chapter 9

Chapter 10

Chapter 11

Chapter 12

Chapter 13

Chapter 14

Chapter 15

Chapter 16

Chapter 17

Chapter 18

Chapter 19

Chapter 20

Chapter 21

Chapter 22

Chapter 23

Chapter 24

Chapter 25

Chapter 26

Chapter 27

Chapter 28

Chapter 29

Chapter 30

Chapter 31

Chapter 32

Chapter 33

Chapter 34

Chapter 35

Chapter 36

Chapter 37

Chapter 38

Chapter 39

Chapter 40

Chapter 41

Chapter 42

Chapter 43

Chapter 44

Chapter 45

Chapter 46

Chapter 47

Join over 22 million students in learning with our Vaia App

Recommended explanations on Math Textbooks

Mechanics Maths

Decision Maths

Calculus

Pure Maths

Geometry

Statistics