[Discrete Mathematics] Cartesian Product Proofs Examples

We do two proofs with Cartesian Products.
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Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.

[@lilsnowball8]

Im not sure many appreciate what you have done for us with this series. I would just like to thank you for doing this, you have helped a struggling student immensely and I am extremely grateful for you doing this.

[@ilovekitkat7857]

I have no idea how my professor made this subject so difficult to comprehend. You sir is a living legend.

[@user-tc3ns8ke3j]

I love you....you saved my life. you make proofs so easy.

[@kristianlynes5908]

My professor made this subject basically rocket science, thanks for simplifying it!

[@techdiscussion3617]

can u give the link for practicing more problems in discrete maths

[@michaelseifuaraya]

Thank you!!!

[@waiyip4427]

mind blown.

[@UPPERKEES]

Maybe it's me but this video could use more explaining (yes I've seen the 2 previous videos, those were fine).

[@braytonbailey3782]

i am assuming you are speaking of the vector cross product, which by using its properties one can execute the proof, but i don't get why y is not in C

[@khaleda2052]

Thanks for the great tutorial. I just got confused in the question of proving that
A * (B - C) = (A * B) - (A * C). Why did you say that y is an element of B but it is not an element of C?
Thanks,
Khaled

[@Trevtutor]

+Khaled A The definition of B-C is the set of x such that x is in B and x is not in C.

[@khaleda2052]

Got it, thanks :)

[@SuperiorLoverboy]

+TheTrevTutor
I still don't understand the definition of B-C

[@nancywang9070]

Hey, I was confused by that too and I found this on WolframAlpha: mathworld.wolfram.com/SetDifference.html Hope this helps!

[@SuperiorLoverboy]

Thank you Nancy! I finally understand the definition of B-C. :)

[@jordanjacinto5972]

I don't really understand for the second question that since you're proving the -> direction why you assume A is a subset of C etc

[@mayurkarmakar2519]

Can't we use distributive law on A*(B-C) which will end up to the result (A*B)-(A*C).Do correct me if this thought is inappropriate or is incorrect.

[@MRWEEDSY]

Great tutorials so far! But was is iff? at 3:27?

[@SoumilSahu]

"if and only if" is abbreviated as iff

[@fairlymoon448]

After that first vid, it was like yep great getting this. 2nd and 3rd vid.. totally lost me. Should these vids be watched in the playlist order?

[@Trevtutor]

Exercise videos are usually slightly more advanced and may require lectures further in the course. They're more closely related to the material in the previous section though, so I included them earlier in the playlist.

[@UPPERKEES]

Same here, steps are done without explaining them, which is a shame. The previous videos were great.

[@africansniper5824]

why in 1.20 does y E B but not c? Please help, this may seem obviouse but i can't wrap my head around it :/

[@Trevtutor]

B - A is equivalent to B intersect A-complement. Which means that y \in B and y \in A-complement, which means y\in B and
otin A.

[@jackgisel3211]

What would A X { } = ?? cause { } X A is null, then what about the other way?

[@Trevtutor]

they are both null. A x \empty = \empty x A = \empty

[@shamamta]

I'm triggered. He said, "one direction". Lol

[@Trevtutor]

You light up my world like nobody else.

[@II_xD_II]

@@Trevtutor goddamn it im dying lol
not expected here
and like that omfg

[@twilitthoughts]

0:32

[@rustman1984]

I asked about the order of these videos in another comment and was told that the playlist has them in order. If this is true, then I am not sure how the last few videos in the playlist are built off the first one at all. They seem unrelated and not transitioned smoothly. I am not following.

[@Trevtutor]

Lecture videos (black background) are in order. Example videos follow the topics, but some of the earlier example videos require the proof lectures. There are not many like this, but there's no real way to order some of these exercise videos without some discontinuity.