5.3 - Diagonalization

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  • เผยแพร่เมื่อ 28 ธ.ค. 2024

ความคิดเห็น • 25

  • @jaanbrooks5030
    @jaanbrooks5030 8 หลายเดือนก่อน +13

    We really got Seth Rogen teaching linear algebra before GTA 6.

    • @zura898
      @zura898 12 วันที่ผ่านมา

      this shit got me dying at 3 am before my final exam tmr

  • @srijseekssunflowers__
    @srijseekssunflowers__ 12 วันที่ผ่านมา +1

    Is this from Friedberg insel and spence?

    • @paulcartie7095
      @paulcartie7095 10 วันที่ผ่านมา

      No, the text is Linear Algebra and its Applications by Lay.

  • @sarahstets
    @sarahstets 8 หลายเดือนก่อน +1

    I love this class because its always like when a matrix is similar to a diagonal matrix, the matrix is said to be diagonalizable. And it feels like god like beings talking to mortals in the ancient times in a dnd type world.

  • @foolian712
    @foolian712 หลายเดือนก่อน +2

    thank you markiplier

  • @samkuo560
    @samkuo560 3 ปีที่แล้ว +2

    This video was very helpful, thanks!

  • @goku54082
    @goku54082 ปีที่แล้ว +2

    😢you saved me from exams

  • @taiebxr
    @taiebxr 2 ปีที่แล้ว +6

    I have my exam in 3 hours 🙈

  • @muhammadabdullahriazbhatti
    @muhammadabdullahriazbhatti ปีที่แล้ว +7

    I didn't like that you skipped those 14 steps. Each video on its own complete is kinda nice, isn't it? so you get the full idea and don't necessarily have to switch back and forth unless of course you really want to.
    Thanks!

    • @beachwave5705
      @beachwave5705 ปีที่แล้ว

      he was being sarcastic dumbass

    • @heqiwu6404
      @heqiwu6404 ปีที่แล้ว +3

      I like it though. I think it will better for TH-cam to have some content folded. If he explains those 14 steps, it will make the video super long, increasing the hardness to locate certain content.

    • @angelmoronta3771
      @angelmoronta3771 ปีที่แล้ว

      he could have done it once
      @@heqiwu6404

    • @MultiversalGoat
      @MultiversalGoat ปีที่แล้ว

      I'm surprised you didn't like it; I found it quite nice. Those 14 steps are things you have been doing heavily in past chapters which is why it is skipped. If you need a refresher, just go back to another chapter to see how to row reduce or solve a matrix.

  • @nicholaspisano37
    @nicholaspisano37 ปีที่แล้ว +1

    I remember a question asking us to solve for the formula of A if a = pdp^-1 way back in like 2.4 or something like that. I never thought any thing of it. Crazy that it comes back to actually mean something later besides being a novelty.

    • @paulcartie3820
      @paulcartie3820  ปีที่แล้ว +2

      In math, there is very little novelty. It is all to further a more significant purpose!

  • @Elijah_Hoenig
    @Elijah_Hoenig ปีที่แล้ว +1

    I've looked at a few of the problem solutions and there's something I'd like some clarification on. The order of the eigenvalues in D and eigenvectors in P don't matter as long as they're consistent with one another, correct?

    • @paulcartie3820
      @paulcartie3820  ปีที่แล้ว

      That is correct - great point of clarification.

  • @taiebxr
    @taiebxr 2 ปีที่แล้ว +2

    Ughhh thank you Paul !

  • @marvinmendoza589
    @marvinmendoza589 ปีที่แล้ว +3

    too many steps skipped im more confused

  • @YasinFarid04
    @YasinFarid04 8 หลายเดือนก่อน

    Was a bit challenging to understand the theorems.

  • @ShashwatShekhar-ek4zg
    @ShashwatShekhar-ek4zg ปีที่แล้ว +1

    sir I thunk a mistake at 17:51, you taught that 0 can't be an eigenvalue but here you also took 0 as an eigenvalue.

    • @kevinghobrial400
      @kevinghobrial400 ปีที่แล้ว +2

      0 cant be an eigen vector, but it can be an eigen value