Math Is Fun Forum

morik

Member

Registered: 2005-11-23

Posts: 16

Cartesian Product

Can anybody help me with cartesian products? I have a question I need help doing...

if A = {a9,a6,a2,a10}, B={a6,a9}, and C={a6,a7}, determine:

1. A  ×  B  =

2. the set (A $B)  ×  C

Note: $B = OR

Cheers

Dross

Member

Registered: 2006-08-24

Posts: 325

Re: Cartesian Product

if A = {a9,a6,a2,a10}, B={a6,a9}, and C={a6,a7}, determine:

1. A  ×  B  =

2. the set (A $B)  ×  C

Note: $B = OR

1. The cartesian product of A and B will be the set of all ordered pairs, the first element of which is in A, the second of which is in B.. simply write these out. It will be something like:

A x B = { (a9, a6), (a9, a9), (a6, a6), ... }

I'll let you finish it - show what you get and we'll let you know if you've done it right.

Also, how many elements will you have in A x B?

2. Write out (A OR B) as a set first, then proceed as in question 1.

Let us know if you need any more help.

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