Let A be a set and define A = {1,2, x,y}. So which of the following is A2 ? {(1, 1), (1, 2), (1, a), (1, b), (2, 1), (2, 2), (2, a), (2, b), (a, 1), (a, 2), (a, a), (a, b), (b, 1), (b, 2), (b, a), (b, b)}{(1, 1). (1, 2). (1, x). (1, y). (2, 1), (2, 2), (2, x), (2. y). (x, 2), (x, x). (x, y). (y, 1). (y, x). (y, y){(1, 2), (1, x), (1, y). (2, 1), (2, x), (2, y). (x, 1), (x, 2), (x, y), (y. 1). (y, 2). (y, x), (x, 1), (y, 2)}{(1, 1). (1, 2), (1, x), (1. y), (2, 1). (2, 2), (2, x), (2. y), (x, 1), (x, 2), (x, x), (x, y). (y, 1). (y, 2), (y, x), (y, y)){(1, 1). (1,x). (1.y), (2. 1), (2. 2). (2.x).(2.y). (x, 2), (x, ×), (x, y). (y. 1). (y, 2), (y, y))

Given that A={1,2,x,y} The objective is to find A2=A×A.

Answered: Let A be a set and define A = {1,2,…

Math

Advanced Math

Let A be a set and define A = {1,2, x,y}. So which of the following is A2

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.

Question

Let A be a set and define A = {1,2, x,y}. So which of the following is A²?

{(1, 1), (1, 2), (1, a), (1, b), (2, 1), (2, 2), (2, a), (2, b), (a, 1), (a, 2), (a, a), (a, b), (b, 1), (b, 2), (b, a), (b, b)}
{(1, 1). (1, 2). (1, x). (1, y). (2, 1), (2, 2), (2, x), (2. y). (x, 2), (x, x). (x, y). (y, 1). (y, x). (y, y)
{(1, 2), (1, x), (1, y). (2, 1), (2, x), (2, y). (x, 1), (x, 2), (x, y), (y. 1). (y, 2). (y, x), (x, 1), (y, 2)}
{(1, 1). (1, 2), (1, x), (1. y), (2, 1). (2, 2), (2, x), (2. y), (x, 1), (x, 2), (x, x), (x, y). (y, 1). (y, 2), (y, x), (y, y))
{(1, 1). (1,x). (1.y), (2. 1), (2. 2). (2.x).(2.y). (x, 2), (x, ×), (x, y). (y. 1). (y, 2), (y, y))

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