Learning begins with a question

*Math Image Search only works best with zoomed in and well cropped math screenshots. Check DEMO

27 views
What is the cartesian product ?
in Mathematics by Platinum (138,598 points) | 27 views

1 Answer

0 like 0 dislike
Best answer
The cartesian product \(A \times B\) of sets \(A\) and \(B\) is the set of ordered pairs whose first component is from \(A\) and the second component is from \(B\). For example, if \(A=\{1,2,3,4\}\) and \(B=\{3, a, 9\}\), then their cartesian product is:
\[
A \times B=\{(1,3),(1, a),(1,9),(2,3),(2, a),(2,9),(3,3), ...\]

\[... (3, a),(3,9),(4,3),(4, a),(4,9)\} .
\]
We use the notation \(A^2\) for \(A \times A\).
Cartesian product is used to formally define many important concepts in mathematics. For the beginning, you may notice that we can define the two-dimensional plane as the product of the line \(\mathbb{R}\) with itself. Later on we will see that relations, functions, and graphs can be defined using cartesian product.
by Platinum (138,598 points)

Related questions

1 answer
asked May 22, 2021 in Mathematics by MathsGee Platinum (138,598 points) | 347 views
1 answer
asked Apr 25, 2020 in Mathematics by MathsGee Platinum (138,598 points) | 142 views
1 answer
1 answer
asked Apr 25, 2020 in Mathematics by MathsGee Platinum (138,598 points) | 113 views
0 answers
asked Jun 3 in Mathematics by Gauss Diamond (65,975 points) | 62 views
1 answer
asked May 22, 2021 in Mathematics by MathsGee Platinum (138,598 points) | 154 views

Join the MathsGee Science Technology & Innovation Forum where you get study and financial support for success from our community. CONNECT - CONSULT - LEARN - FUNDRAISE


On the MathsGee Science Technology & Innovation Forum, you can:


1. Ask questions


2. Answer questions


3. Vote on Questions and Answers


4. Start a Fundraiser


5. Tip your favourite community member(s)


6. Create Live Video Tutorials (Paid/Free)


7. Join Live Video Tutorials (Paid/Free)


8. Earn points for participating



Posting on the MathsGee Science Technology & Innovation Forum


1. Remember the human


2. Behave like you would in real life


3. Look for the original source of content


4. Search for duplicates before posting


5. Read the community's rules




FORUM RULES


1. Answers to questions will be posted immediately after moderation


2. Questions will be queued for posting immediately after moderation


3. Depending on how many posts we receive, you could be waiting up to 24 hours for your post to appear. But, please be patient as posts will appear after they pass our moderation.




USEFUL LINKS


Web Analytics | SEO Reports | Social Proof Widgets | Startup Funding | USO


MathsGee Android Q&A