Oxford Linear Algebra: What is a Vector Space?

[@TomRocksMaths]

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[@spencercharlton9370]

Really great video! I just wrapped up the intro linear algebra course of my undergrad last semester. I'm happy to see such a great video on one of the topics I struggled most with. Once all of the abstractness became clear I realized there are so many applications for vector spaces and I think its so cool. I plan to study linear algebra in future years of university. Sending love from Canada! The content is awesome!

[@nicktatum3340]

Love and support from a Math/Numbers fan here in the US✊🏼❤️💪🏽 #️⃣♾

[@tusharhalder64]

You are amazing Prof. Tom! I’ve learnt a lot from your vids and it really did help me in my grades.

[@TomRocksMaths]

Happy to help!

[@nicholasdavies6264]

Hi Tom, could you do a vlog relating to your University standard mathematics and how it relates to industry or other ? If you gain a degree in Mathematics... where does the end result lie , work wise ? Enjoy your vlogs ! 👍

[@Sattvicsight]

Thanks for posting this! Such a helpful breakdown. :)

[@miegas4]

In axiom vi) it seems that this axiom is stating the relationship between the + operator of the vector space and the addition of the field. they seem to my untrained eye to be 2 different operations using the same symbol. Is this what is going on?

[@adryel9458]

Yes. As an example: It could be the case that your vector space is one consisting of functions so the addition there is different from the one on the reals

[@zizou2076]

Yeah there is the usual addition that we know, and other additions that differ from a problem to another

[@phenixorbitall3917]

Nice! Thank you very much. Could you please also make a video on Galois theory one day Sir? I really like the way you explain things.

[@CommanderdMtllca]

That's a sick shirt

[@nic741]

I had a quick question which might sound silly, but I was hoping you could help resolve. As I understand, when you say that a space (i.e: Vector space) is "equipped", then this means that this space has a map built into it. However, my confusion is about the vector space axioms. Are these axioms a result/consequences of these maps or are they something extra we impose on the space to make it into a vector space? Thank you in advance :)

[@Smoothcurveup52]

Wonderful explanation thank you sir

[@Azure4509]

Can you please state the difference between Space and Structure in math?

[@gurlalsingh3916]

Thanks sir

[@MTahar-ig3gy]

Like the shirt

[@fredtocher7180]

Don’t even study maths just like the way tom explains stuff

[@jenm1]

I assume this is past first semester Lin Alg bc I hardly know what's going on

[@nikhilrajemankar1866]

You Should make it a hour long lecture, video

[@nocomment296]

Nice tshirt 👕

[@cecexhok9312]

ربي يعطيك ماتتمنى.

[@yuvarajghosh2789]

Sir please try to solve the Maths section of India's JEE Advanced papers. And give a review in your channel.

[@easymathematik]

Most of them are straight forward.

[@arcanemuttering]

Landers and pints

[@beastok]

I wanna wear that shirt :)