Eigenvectors and Geometry

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  • เผยแพร่เมื่อ 30 ต.ค. 2024

ความคิดเห็น • 28

  • @IshaaqNewton
    @IshaaqNewton 5 ปีที่แล้ว +6

    Hat's off to him...
    For saying:
    " I don't like Algebra, I love Math"
    Even I feel the same.

  • @zaraal-ghnai4305
    @zaraal-ghnai4305 5 ปีที่แล้ว +13

    Please do videos on abstract algebra .

    • @tracyh5751
      @tracyh5751 5 ปีที่แล้ว +1

      He just said he hates algebra. :(

    • @LuisBorja1981
      @LuisBorja1981 5 ปีที่แล้ว +2

      @@tracyh5751 but abstract algebra is something quite different. It uses more logic than arithmetics

  • @sadface7457
    @sadface7457 5 ปีที่แล้ว +7

    Homomorphism are a beautiful part of maths that students dont often see.

  • @MrCigarro50
    @MrCigarro50 3 ปีที่แล้ว

    Thank you. Very informative

  • @RalphDratman
    @RalphDratman 5 ปีที่แล้ว +6

    You hate algebra? But you seem to do it so well! I don't hate algebra, I'm just not good at it. That's why I use Mathematica! And I love geometry.

  • @TheRedfire21
    @TheRedfire21 5 ปีที่แล้ว +2

    Can you do this geometric representation of eigenvectors with the generalized eigenvectors in the jordan matrix?

  • @michaelchristinarichardson9660
    @michaelchristinarichardson9660 2 ปีที่แล้ว

    Thank you!!! ❤

  • @mimithewienerdog6928
    @mimithewienerdog6928 5 ปีที่แล้ว

    alright thanks for teaching!

  • @billgrant7262
    @billgrant7262 5 ปีที่แล้ว +2

    shouldn't the final one be [-2, 4] + [9,18] not [-2,2]+[9,18]?

    • @oqardZ
      @oqardZ 5 ปีที่แล้ว

      Yup.

  • @LuisBorja1981
    @LuisBorja1981 5 ปีที่แล้ว

    I guess this approach could have a lot of TECHNOLOGIC applications

  • @marlopez5789
    @marlopez5789 5 ปีที่แล้ว

    Can you solve imo 2019 problem number 3 ?

  • @ImPresSiveXD
    @ImPresSiveXD 5 ปีที่แล้ว +1

    There might be a small calculation error at the end, the vector should be [7,22]?

    • @JoanLu
      @JoanLu 5 ปีที่แล้ว

      +1

  • @joluju2375
    @joluju2375 5 ปีที่แล้ว

    I'm close to understanding something new. Wish you had a strechable whiteboard.

  • @joluju2375
    @joluju2375 5 ปีที่แล้ว

    This intuition oriented video would be a great place to explain the name "Eigen vectors" to english speakers. I think in german "eigen" is "to own". In french we call it "vecteurs propres". That is to say eigen vectors refer to intrinsec properties of a transformation, which I roughly assimilate to preferential directions. Although my comment is not mathematically precise, I thought it was worth mentioning, unless I'm wrong and you totally disagree.
    PS : I beware algebra because this tool that can hide the real stuff behind.

  • @forgetfulfunctor2986
    @forgetfulfunctor2986 5 ปีที่แล้ว

    THOUGHTS ON THE NULLSTELLENSATZ?

  • @willnewman9783
    @willnewman9783 5 ปีที่แล้ว

    0:44 "I hate algbera"
    I am wondering why that is? Like what algebra class did you take that made you not like it?

    • @drpeyam
      @drpeyam  5 ปีที่แล้ว +1

      All of them, to be honest (except for linear algebra). Too much abstract nonsense, haha. I’m an analyst :)

    • @willnewman9783
      @willnewman9783 5 ปีที่แล้ว

      @@drpeyam Ah I see. What makes linear algebra different?

    • @drpeyam
      @drpeyam  5 ปีที่แล้ว +2

      First of all it’s very geometric and can be visualized very easily! I mean try to visualize a Galois group ;) And also I feel everyone can put their own flavor in it. For example, if an analyst teaches linear algebra, it’ll be very different from when a logician (for example) teaches linear algebra. It’s kinda like an open source software in math

  • @mikedavis8973
    @mikedavis8973 5 ปีที่แล้ว +2

    Who else has the notifications bell on?

  • @ccuuttww
    @ccuuttww 5 ปีที่แล้ว

    He hates algebra bot not linear algebra : )
    but some of the topics will freak u out like guassian quadrate fourier series different method to calculate eigen value including householder reflector, QR ......a lot of stuff

  • @michalbotor
    @michalbotor 5 ปีที่แล้ว

    baking algebra. ;)

  • @diegoov926
    @diegoov926 5 ปีที่แล้ว

    Please sud spanish.