6.1 - Inner Product, Length, and Orthogonality

แชร์
ฝัง
  • เผยแพร่เมื่อ 23 ธ.ค. 2024

ความคิดเห็น • 13

  • @Amanecer1412
    @Amanecer1412 8 หลายเดือนก่อน +15

    Shouldn't the example 3 be ?

    • @NedsterRace
      @NedsterRace หลายเดือนก่อน +1

      Correct! I think he did a mistake. How was linear Algebra for you?

  • @Elijah_Hoenig
    @Elijah_Hoenig ปีที่แล้ว +1

    Vector multiplication getting mentioned reminds me of when I tried making a "2D number base". Integers are essentially just 1-dimensional vectors, so you can make a n-dimensional coordinate system that displays coordinates as a single number using m^n digits. Of course, I never got past "how does multiplication work?" and left the idea on the shelf.

  • @brandonb1401
    @brandonb1401 3 ปีที่แล้ว +3

    "What it really should say is 'See (my awesome drawing of) Figure 7'" 13:20 😂

  • @oskarjennische2490
    @oskarjennische2490 2 ปีที่แล้ว +1

    thanks a lot. so glad i found a walkthrough on the same book i am using. please put the name of the book in the description so it is easier for others to find your videos when searching as well!

  • @sarahstets
    @sarahstets 7 หลายเดือนก่อน +2

    from y = mx + b find the distance between two points to this…really is crazy what math has become

  • @gp7493
    @gp7493 4 ปีที่แล้ว +2

    amazing explanations. I can't get the material for the life of me but this has helped greatly!

  • @colegreenfield219
    @colegreenfield219 4 ปีที่แล้ว +3

    at 8:05, are you using the points given by X or Y? I thought it would be given by Y but then the numerator would be 3 not 1 I believe (for final answer). I'm probably wrong but not sure

    • @paulcartie3820
      @paulcartie3820  4 ปีที่แล้ว

      Cole, you're good. Great attention to detail! That numerator should be a 3. I'm not going to change any of my videos now, but I will update them if I use them again in the fall. Thanks for keeping me honest!

  • @YasinFarid04
    @YasinFarid04 8 หลายเดือนก่อน

    I'm curious about how orthogonal projection are used in specific applications like image processing or machine learning.

  • @kaprikadeep1856
    @kaprikadeep1856 2 ปีที่แล้ว +1

    good explanation, thanks. can you tell me which book you are using it as a reference ?

    • @王越-z2w
      @王越-z2w 2 ปีที่แล้ว

      linear algebra and its applications 5th edition

  • @nicholaspisano37
    @nicholaspisano37 ปีที่แล้ว

    Are we allowed to use u • v = mag(u)mag(v)cos(theta) at any point?