Linear Algebra - Lecture 36 - Diagonalizing a Matrix

แชร์
ฝัง
  • เผยแพร่เมื่อ 15 ธ.ค. 2024

ความคิดเห็น • 20

  • @repoyo
    @repoyo 6 หลายเดือนก่อน +1

    sir you're my saviour, thanks for the videos.

  • @steveying1305
    @steveying1305 ปีที่แล้ว +1

    really clear and thorough explanation

  • @isomz638
    @isomz638 5 ปีที่แล้ว +15

    Hey James, have you considered adding some practice problems to your videos? For instance you could select problems from a free open-source textbook and assign them at the end of each of your lectures. On the following lecture you could add a link to a solution set for the previous lecture's practice problems. That way the people you're helping with these lectures could not only get the lecture help but actually have some practice problems to apply what they learned.

  • @Max-wf1qm
    @Max-wf1qm ปีที่แล้ว +1

    I also have another question in 3:20 youre using a different matrix for lambda = -2. Why and how do you get a different augmented matrix than before?

    • @HamblinMath
      @HamblinMath  ปีที่แล้ว

      I'm solving the equation (A-(-2)I)x = 0 to find the eigenvectors for that eigenvalue.

  • @micah2936
    @micah2936 ปีที่แล้ว +1

    This lesson took me 2 hours to finish 😵‍💫 I always pause to try the example first and boy I went too far. For the first example I tried to find A^k thinking that was what it was asking for and I was really confused when the result was all the values in A just powered to k. I think I didn’t hit the note from the last lecture to realize that 😅
    I love when a problem takes half a page of work to complete, it’s so satisfying

  • @ravindrasuthar
    @ravindrasuthar 3 ปีที่แล้ว +1

    You are legend sir

  • @saucek5917
    @saucek5917 2 ปีที่แล้ว +5

    how did you factor that higher order polynomial into -(x-1)(x+2)^2?

    • @Max-wf1qm
      @Max-wf1qm ปีที่แล้ว +2

      I have the same question

  • @kairiannah
    @kairiannah 3 ปีที่แล้ว +1

    thank you James

  • @italics2317
    @italics2317 3 ปีที่แล้ว +6

    thanks bro i got an exam in 20 mins

    • @kenogu436
      @kenogu436 2 ปีที่แล้ว

      Lmao me in 6.5 hrs

    • @munjee2
      @munjee2 2 ปีที่แล้ว +1

      10 minutes

  • @aaryan7574
    @aaryan7574 7 หลายเดือนก่อน

    hello sir, from the textbook, there's one more theorem 7, which you haven't included in this video. Was that not so important thats why you didnt include or some other reason? By the way, loved the explanation, understood everything properly!!

    • @HamblinMath
      @HamblinMath  7 หลายเดือนก่อน

      I don't know what theorem you're talking about. Here is a link to the textbook for these notes: webspace.ship.edu/jehamb/ela/lecture36.html

  • @VinayKumar-hx7ur
    @VinayKumar-hx7ur 4 ปีที่แล้ว +1

    Nice

  • @fatimafall6607
    @fatimafall6607 4 ปีที่แล้ว +1

    How did you find the determinant

    • @sravanikatasani6502
      @sravanikatasani6502 4 ปีที่แล้ว

      hey,u can watch this video on determinants
      th-cam.com/video/lZd-twKmnmg/w-d-xo.html&ab_channel=JamesHamblin

    • @javeriatabraiz2434
      @javeriatabraiz2434 3 ปีที่แล้ว +1

      I think it's not correct

    • @anapoput7624
      @anapoput7624 2 ปีที่แล้ว

      He used the laplace expansion, but didn't write it explicitly down