The Gram-Schmidt Process

Ғылым және технология

The Gram-Schmidt process is a recursive formula that converts an arbitrary basis for a vector space into an orthogonal basis or an orthonormal basis. We go over the theory and work two examples, one real and one complex.

Пікірлер: 33

  • @Robojeeves
    @Robojeeves6 жыл бұрын

    Life saver! This is the first Graham-Schmidt explanation that has made any sense to me

  • @RoieMeltzer
    @RoieMeltzer7 жыл бұрын

    "at the second stage, it kills you."

  • @JackedJanna
    @JackedJanna5 жыл бұрын

    "can't get it from a store" great line lorenzo my man 10/10

  • @Safwan.Hossain
    @Safwan.Hossain5 жыл бұрын

    This was the video on the Gram-Schmidt Process online I've seen. Thank you Dr. Sadun!

  • @sarahweissman3570
    @sarahweissman35705 жыл бұрын

    Thank goodness for this video and for the visual representation of what the Gram-Schmidt process actually does

  • @sediye
    @sediye9 жыл бұрын

    loved it! clear and concise

  • @Tilwaen
    @Tilwaen8 жыл бұрын

    Very well explained, thank you.

  • @MuhammadAbdulrahim-cl3wk
    @MuhammadAbdulrahim-cl3wk5 жыл бұрын

    Thanks a lot. very simple and concise.

  • @ahexcuseme6936
    @ahexcuseme69364 жыл бұрын

    Bless you sir! 🙏

  • @Gipsy4u
    @Gipsy4u9 жыл бұрын

    very well explained, Thanks

  • @majidalhamadani3693
    @majidalhamadani36937 жыл бұрын

    thank you

  • @lipubhoi9656
    @lipubhoi96563 жыл бұрын

    good explain

  • @thazmeelahmed5256
    @thazmeelahmed52565 жыл бұрын

    Deserves a like

  • @briansullivan2664
    @briansullivan26646 жыл бұрын

    thank you sir

  • @aryapatel7615
    @aryapatel76157 жыл бұрын

    thanks i have a paper today and they are gonna ask me this i didn't understand uptil now but now thank you

  • @rachelrothmusic
    @rachelrothmusic7 жыл бұрын

    good explanation however it would perhaps be wise to use different variables for the bases as it gets confusing with the example

  • @samuelopokuagyemang430
    @samuelopokuagyemang4309 жыл бұрын

    i think the length of ((2, -i)) is square root of 6

  • @MegaBdboy
    @MegaBdboy7 жыл бұрын

    That is all ?

  • @sanjaykrish8719
    @sanjaykrish87197 жыл бұрын

    Yeahhh... I understant Gram-Schmidth..

  • @xyzoooo401
    @xyzoooo4019 жыл бұрын

    i have no idea why ||(-3/2,-3/2,3)|| would be root(6)??????????

  • @lorenzosadun565

    @lorenzosadun565

    9 жыл бұрын

    It isn't. But it's (3/2) sqrt(6). To get a unit vector in the (-3/2, -3/2, 3) direction, I first multiplied by 2/3 to get (-1, -1, 2), and then divided by the length of (-1, -1, 2), namely sqrt(6). Multiplying by 2/3 isn't necessary --- you can just divide (-3/2, -3/2, 3) by the length of (-3/2, -3/2, 3). But the way I did it makes the computation much easier, since squaring and adding integers is a lot simpler than squaring and adding fractions.

  • @xyzoooo401

    @xyzoooo401

    9 жыл бұрын

    thank you very much Mr.Lorenzo Sadun

  • @samuelopokuagyemang430

    @samuelopokuagyemang430

    9 жыл бұрын

    BORAT SACHDEV why is the length of ((2, -i)) , 4.I do not get it.

  • @lorenzosadun565

    @lorenzosadun565

    9 жыл бұрын

    SAMUEL OPOKU AGYEMANG The length of (2, -i) is sqrt(2^2+|i|^2)=sqrt(5), not 4.

  • @samuelopokuagyemang430

    @samuelopokuagyemang430

    9 жыл бұрын

    sqrt(6)

  • @walidzein1
    @walidzein17 жыл бұрын

    they actually sell orhotonormal basis at the store

  • @onursarsu923
    @onursarsu9236 жыл бұрын

    ı dont know uffff

  • @erkuttekmanoglular6708
    @erkuttekmanoglular67087 жыл бұрын

    results are wrong !!! 15/3 is not equal to 5 it's equal to 3 !

  • @abdullahshahid6637
    @abdullahshahid66376 жыл бұрын

    0:10 Trying to be funny ??

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