Linear Decomposition by the Dot Product

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  • Опубликовано: 28 сен 2024
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Комментарии • 23

  • @johnathancorgan3994
    @johnathancorgan3994 3 месяца назад +5

    After decades of using linear algebra in professional work, I still find these treatments of the basics quite refreshing and sometimes even enlightening. There is an elegance to the part of the world that can be modeled and predicted by linear maps.

  • @wagsman9999
    @wagsman9999 3 месяца назад

    Gorgeous stuff.

  • @tomholroyd7519
    @tomholroyd7519 3 месяца назад

    oh did you mention to your students the identity matrix hidden in the metric? 'cuz you know

  • @SimchaWaldman
    @SimchaWaldman 3 месяца назад +3

    In the thumbnail, you can use LaTeX coding *\imath* and *\jmath* to get a dotless *i* and *j* respectively.

    • @MathTheBeautiful
      @MathTheBeautiful  3 месяца назад +2

      Thank you! Yes, I think that would have been better!

  • @joeheafner2495
    @joeheafner2495 3 месяца назад +2

    BOOM! This may very well be the best way to bring the metric tensor into introductory physics.

  • @Fractured_Scholar
    @Fractured_Scholar Месяц назад +1

    Earlier in the series you mentioned that some of the geometry problems "become a joke" when we start solving solving them with vectors. Can we expect examples of that in the near future?

    • @MathTheBeautiful
      @MathTheBeautiful  Месяц назад

      There are some in the past! This and the following four videos: ruclips.net/video/erqHJeEsMPc/видео.html

    • @Fractured_Scholar
      @Fractured_Scholar Месяц назад

      @@MathTheBeautiful - Thank you kindly, sir.

  • @kingplunger6033
    @kingplunger6033 2 месяца назад

    This is not the end yet, is it ? Nevermind: You just uploaded again :)

  • @FranzBiscuit
    @FranzBiscuit 3 месяца назад

    Well done, I think I actually get it now! The presentation was wonderful, very enjoyable indeed. Cheers.
    SUBSCRIBED

  • @Pluralist
    @Pluralist 3 месяца назад

  • @ralvarezb78
    @ralvarezb78 3 месяца назад

    Very clear and impressive MASTERCLASS

    • @MathTheBeautiful
      @MathTheBeautiful  3 месяца назад +1

      Thank you!

    • @ralvarezb78
      @ralvarezb78 3 месяца назад

      ​@@MathTheBeautifulThanks to you. I'm electrical engineer, with more than 15 years of experience and I'll subscribe next Monday on Maths at "Université de la Sorbonne" (Paris). Your video transmits not only deep knowledge on what is going on, but also passion of the teacher, and this is the very important thing. Congratulations!

  • @tomholroyd7519
    @tomholroyd7519 3 месяца назад

    Ooooh Kayyyy Gram Matrix from now on