Dot Product Properties (with proofs)

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  • čas přidán 10. 09. 2024
  • adampanagos.org
    The dot product is a special case of an inner product for vector spaces on Rn. As such, the dot product has all properties of an inner product. We provide proofs for all 4 of these properties using direct proofs/algebraic manipulation.
    The next video in this playlist is:
    The Norm of a Vector - • The Norm of a Vector
    The previous video in this playlist is:
    Inner Product Introduction - • Inner Product Introduc...
    The full playlist of 26 videos on Orthogonality and Least Squares is here:
    • Linear Algebra Example...
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Komentáře • 9

  • @SumbaSlice
    @SumbaSlice Před 3 lety +2

    I can't thank you enough. Your work is highly appreciated. Just amazing stuff you put up for free. God bless you.

    • @AdamPanagos
      @AdamPanagos  Před 3 lety

      Thank you for the kind words, I appreciate you watching. Make sure to check out my website adampanagos.org for additional content (600+ videos) you might find helpful. Thanks, Adam

  • @pamodakoggala
    @pamodakoggala Před 4 lety +1

    Thank you for uploading this video
    Adam Panagos. This was really helpful.

    • @AdamPanagos
      @AdamPanagos  Před 4 lety +1

      You're very welcome, thanks for watching!

  • @malshadissanayaka9531
    @malshadissanayaka9531 Před 3 lety +1

    good

  • @TALKmd
    @TALKmd Před 4 lety +1

    i love your videos its been helful during my corse of linear algebra .
    whitch "Board" softwere you are using?

    • @AdamPanagos
      @AdamPanagos  Před 4 lety +1

      Glad you've found the videos helpful, thanks for watching.
      For most of my videos, I use Doceri (an app for my iPad, apps.apple.com/us/app/doceri-remote/id412443803?ls=1) that lets me pre-record all the writing. Then, I can "play back" the writing while I record the audio. It’s a very useful tool for me. Hope that helps,
      Adam

    • @TALKmd
      @TALKmd Před 4 lety

      @@AdamPanagos Thank you, and i assure you that you have your uniqueness and i appreciate it

  • @saadhassan9469
    @saadhassan9469 Před 2 lety

    Please upload for complex numbers as well