[Discrete Mathematics] Cartesian Products

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Today we look at ordered pairs and cartesian products.

[TheGamingForLife]

I'm starting a major in computer sciencer this winter semester.
I wanted to start some discrete mathematics, and went accross you videos.
having a french background I was worried as for my understanding in this major, especially in english.
thanks to you I start to have more confidence in my, your videos are very well structured.
Thank you.

[richm]

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[sanouw.laurent]

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[yaserhabibi]

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[copyRtest]

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[mathengenewton]

Yea this is probably the most useful channel i have subscribed to yet. Nice work!! Am begining to like maths.

[kenmeyer]

I really enjoy your laid-back teaching style. Thanks!

[MRSpyerJournal]

Wow! This is going to get super abstract. I'm going to be using your tutorials to prepare for the upcoming semester.

[noelquirol]

In your example: Where A = {a, b, c } and B = {0, 1}, you showed that AxB = {(a, 0), (a, 1), (b, 0), (b, 1), (c, 0), (c, 1) }
Isn't the ordered pairs (0, a), (1, a), (0, b), (1, b), (0, c), (1, c) considered to the elements of the set AxB?
Making the set AxB = {(a, 0), (a, 1), (b, 0), (b, 1), (c, 0), (c, 1), (0, a), (1, a), (0, b), (1, b), (0, c), (1, c) }. And the cardinality, |AxB| = 12?

[benphua]

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[markwoel]

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[vicmurai]

Excellent, understandable explanation. Please make a video on "number theory".

[Socrates]

wow I was expecting to see matrices pop out in this video. That's what happens when you take linear algebra before discrete math. This stuff is very theoretical. I am looking forward to it.

[RelaxedKiller]

For the practice exercises; you can basically confirm the answer by calculating the cardinality of 2 sets and check if the amount sets match that number? Ex: B x A where |B| = 2 and |A| = 3 means that the amount of sets I have to find is 6 ( 3 x 2 )?

[Shmariin]

So good at explaining so that I understand!

[kuanlinpaihan]

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[GreeeenT]

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[ahmedturner]

Just out of curiosity, what happens when you cross an empty set with another empty set? Would you get an empty set?
Thanks for the videos! You are awesome!

[joey]

Do you have a video that explains relationships between sets?

[mumtazkazmi]

Perhaps that was a good point where we can see a set of empty set {phi} in action once its cross product is taken with A then it will yield ordered pairs with (phi). Am I right? 10:30