Can you please help me with these two figures can you do this step by step and can explain it as well.can you show the calculations step by step if they are any because I don't know EXAMPLE 0.5If A = {1, 2} and B{x, y, z},A × B = { (1,x), (1, y), (1, z), (2,x), (2, y), (2, z) }.=We can also take the Cartesian product of k sets, A₁, A2,Ak, writtenA₁ × A₂ × ... X Ak. It is the set consisting of all k-tuples (a₁, a2, ..., ak) wherea į € Ai.

We have to explain Cartesian Product of two sets A and B and generalize that for k sets A1 , A2 ,…

EXAMPLE 0.5 If A = {1, 2} and B {x, y, z}, A × B = { (1,x), (1,y), (1, z), (2,x), (2, y), (2, z)}. = We can also take the Cartesian product of k sets, A₁, A2, Ak, written A₁ × A₂ X ... X A. It is the set consisting of all k-tuples (a₁, a2,..., ak) where ai € Ai.

EXAMPLE 0.5 If A = {1, 2} and B {x, y, z}, A × B = { (1,x), (1,y), (1, z), (2,x), (2, y), (2, z)}. = We can also take the Cartesian product of k sets, A₁, A2, Ak, written A₁ × A₂ X ... X A. It is the set consisting of all k-tuples (a₁, a2,..., ak) where ai € Ai.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.2: Properties Of Group Elements

Problem 7E: 7. In Example 3 of Section 3.1, find elements and of such that . From Example 3 of section 3.1:...

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Question

Can you please help me with these two figures can you do this step by step and can explain it as well.

can you show the calculations step by step if they are any because I don't know

EXAMPLE 0.5
If A = {1, 2} and B
{x, y, z},
A × B = { (1,x), (1, y), (1, z), (2,x), (2, y), (2, z) }.
=
We can also take the Cartesian product of k sets, A₁, A2,
Ak, written
A₁ × A₂ × ... X Ak. It is the set consisting of all k-tuples (a₁, a2, ..., ak) where
a į € Ai.

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