Prove that k0 = 0 using axioms only

In this video, I shwed the proof of k0 = 0 using vector space axioms only.

[@maphypsd]

Thanks for the great videos. As a math teacher, I get great ideas from them. One note: you also used the commutativity of vector addition. When adding -k0, you add from the left on one side and the right on the other.

[@flamewings3224]

I always have a problems with that types of proofs in abstract algebra, so thank you for your content. tbh, when I saw your channel I didn’t like you, well, that’s normal for people, but you have been started to be in my recommendations, and sometimes I see EXACT topics I would like to know more… So I’ve been starting to love your content and your way to describe hard topics for student. I’m from Russia, and even in the internet I din’t meet a lot of really good teachers. I can numerate them by my 2 or even 1 hand. So thank you for making your video, which will help really a lot of people, even they aren’t commenting or liking your videos.

[@punditgi]

Symmetric property of equality, sir. In any case it is axiomatic that watching Prime Newtons follows logically from a desire to learn mathematics. 🎉😊

[@PrimeNewtons]

Symmetric!

[@AbrahamLozadaabe]

Equality is an equivalence relation

[@nocoreal]

you have a nice voice, and explain stuff very well. Keep it up man!

[@LionKimbro]

When you get to k0 = k0+k0, is it legal to then reason that k0 must be 0, because 0 is the only element of a group that, when combined with another element, gives back itself? There is an existing proof of the uniqueness of the 0 element of a group, and that it is the only element that ever combines with another element to render itself, and it's trivial to show that vector spaces fit the four requirements of a group over addition: closure, associativity, identity, and inverses, because those are given in the definition of a vector space.

[@Nutshell_Mathematica]

Superb Can I know software u r using make thumbnail with math formulas and all stuff

[@PrimeNewtons]

PowerPoint ->Draw->Ink to math

[@brianmulenga5963]

You are amazing, God bless you

[@PrimeNewtons]

Amen!

[@izzyqrz1]

By any change, do you know any book that may teach you proofs for linear algebra

[@AinomugishaAllan]

Your my best teacher

[@golddddus]

-(k0) cannot be written without an additional axiom. Likewise, (k0)+ -(k0) looks ugly and the additional axiom PN-axiom is needed there. If it were translated into one of the programming languages, it would lead to a syntax error in the message. It is more correct to write (k0) + (-k0) = (k0) + (k0) + (-k0). Even putting minus leak from the bracket is not in your set of axioms at all. The task was to use only the given set of vector space axioms.😎

[@nothingbutmathproofs7150]

Students have such difficulty understanding these type of proofs. I myself never had any trouble with proofs like this (that doesn't mean I never had trouble with proofs!!)

[@profenevarez]

well done, sir.

[@elonmusk8341]

bhai sahab maza aa gaya

[@salarsan12]

bro is Dora the explorer for math 💀

[@mikedubovs1574]

Dora is explorer in Spanish.. so Dora the explorer is .. Dora squared minus swiper no swiping

[@mikedubovs1574]

Proof for the algorithm

[@jakeaustria5445]

Thanks

[@AhmedElsaman-rk1wo]

I liked it