Oxford Linear Algebra: What is a Vector Space?

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  • เผยแพร่เมื่อ 18 ธ.ค. 2024

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  • @TomRocksMaths
    @TomRocksMaths  ปีที่แล้ว +3

    Check out ProPrep with a 30-day free trial to see how it can help you to improve your performance in STEM-based subjects: www.proprep.uk/info/TOM-Crawford

  • @spencercharlton9370
    @spencercharlton9370 ปีที่แล้ว +5

    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
    @nicktatum3340 ปีที่แล้ว +3

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

  • @tusharhalder64
    @tusharhalder64 ปีที่แล้ว +1

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

  • @CommanderdMtllca
    @CommanderdMtllca ปีที่แล้ว +16

    That's a sick shirt

  • @CatalinaAldape
    @CatalinaAldape 9 หลายเดือนก่อน

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

  • @nicholasdavies6264
    @nicholasdavies6264 ปีที่แล้ว +4

    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 ! 👍

  • @miegas4
    @miegas4 ปีที่แล้ว +4

    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
      @adryel9458 ปีที่แล้ว +3

      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
      @zizou2076 ปีที่แล้ว

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

  • @phenixorbitall3917
    @phenixorbitall3917 ปีที่แล้ว +1

    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.

  • @nic741
    @nic741 8 หลายเดือนก่อน +1

    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
    @Smoothcurveup52 ปีที่แล้ว

    Wonderful explanation thank you sir

  • @fredtocher7180
    @fredtocher7180 ปีที่แล้ว +5

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

  • @Azure4509
    @Azure4509 ปีที่แล้ว

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

  • @MTahar-ig3gy
    @MTahar-ig3gy ปีที่แล้ว +7

    Like the shirt

  • @nikhilrajemankar1866
    @nikhilrajemankar1866 ปีที่แล้ว +1

    You Should make it a hour long lecture, video

  • @gurlalsingh3916
    @gurlalsingh3916 ปีที่แล้ว +1

    Thanks sir

  • @jenm1
    @jenm1 7 หลายเดือนก่อน

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

  • @nocomment296
    @nocomment296 ปีที่แล้ว +2

    Nice tshirt 👕

  • @cecexhok9312
    @cecexhok9312 9 หลายเดือนก่อน

    ربي يعطيك ماتتمنى.

  • @arcanemuttering
    @arcanemuttering 4 หลายเดือนก่อน

    Landers and pints

  • @beastok
    @beastok ปีที่แล้ว +2

    I wanna wear that shirt :)

  • @yuvarajghosh2789
    @yuvarajghosh2789 ปีที่แล้ว +1

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

    • @easymathematik
      @easymathematik ปีที่แล้ว +1

      Most of them are straight forward.