Full example: using Gram-Schmidt

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  • Опубліковано 4 січ 2025

КОМЕНТАРІ • 32

  • @nickyraja3793
    @nickyraja3793 4 роки тому +31

    Hey Trefor I have been watching your linear algebra playlist for last 3 or 4 months and yesterday I gavee my linear algebra exam and guess what I scored 27 out of 30 which is a magnificent grade given that you don't score alot in my University. Thank you for all that you do, wouldn't have been possible without your lectures. What you do makes a big difference in people's life and I owe my success to the explicit videos in your course

  • @souravchakraborty6766
    @souravchakraborty6766 2 роки тому +4

    Simple, easy, and clear. Thank you professor! I think every professor should record and upload videos like this.

  • @ashutoshaman2391
    @ashutoshaman2391 3 роки тому +5

    I don't usually watch series but believe me or not, I finished this lecture series in a day. And it was so awesome.
    Thank you..!

  • @azadehfayli
    @azadehfayli 9 місяців тому +2

    Thanks for your great videos, Dr. Trefor. Shouldn't you normalize the first vector?

  • @saraism4557
    @saraism4557 Рік тому

    This is the sole video that explains the extracting Q from a 3 columns matrix. Thanks a bunch

  • @gabrielpereiramendes3463
    @gabrielpereiramendes3463 5 років тому +2

    #Excelent!
    Reviewing this topic because I have my second linear algebra exam today afternoon.
    Thanks a lot for the great help!

  • @jingyiwang5113
    @jingyiwang5113 Рік тому

    I am really grateful for this amazing video! This is really helpful for my mathematics exam coming up very very soon. Thank you so much!

  • @Foomaster29
    @Foomaster29 5 років тому +1

    You're awesome!! Thank you for having the enthusiasm that you do!

    • @Foomaster29
      @Foomaster29 5 років тому

      Trefor Bazett my LA prof is giving a 3rd exam two days before our comprehensive final, was stressing until I found your channel!

  • @c0t556
    @c0t556 6 років тому +20

    Orthogonal but not orthonormal?

    • @jonathanpedraza3788
      @jonathanpedraza3788 Місяць тому +1

      Very late, but Im pretty sure if you want them orthonormal you start by making the first vector normal. ie vector over magnitude. from there you continue following his process, but with your first vector now being normal. That should get you a orthonormal basis not orthogonal

    • @Colded-h1m
      @Colded-h1m 27 днів тому +2

      ​@@jonathanpedraza3788you're replying to 6 year old comment 💀👀

    • @vanyeetus554
      @vanyeetus554 27 днів тому

      @@Colded-h1mget ready for Lin alg at 2

  • @jassielove8538
    @jassielove8538 8 місяців тому

    THANK YOU !!! You're a lifesaver

  • @SS-pl7ci
    @SS-pl7ci 2 роки тому +1

    For V3, should there be a bracket between the vectors that make up the [projections of V3]? Ie. should 5:26 be: (5, 2, 0) - [(1,2-2) + (0,1,1)])? since we're subtracting [projection of V3] from X3? (if not why not?)

  • @johnbingham6355
    @johnbingham6355 5 років тому

    Excellent; and presumably to check.Use the dot mutually on each pair..

  • @MariaFernanda-oz6uf
    @MariaFernanda-oz6uf Рік тому

    you are the best :” thank you so much

  • @fikadubirhane1317
    @fikadubirhane1317 6 років тому

    thank you for make easy and give brief explanation

  • @ylvaeriksson5761
    @ylvaeriksson5761 6 років тому +1

    Thank you very much!

  • @amishagawade2056
    @amishagawade2056 3 роки тому

    Sir , when an orthonormal set are given then how to extend an orthonormal basis of ℝ3 (i.e. u1 and u2 are given then how to find v1,v2,v3).

    • @APaleDot
      @APaleDot 2 роки тому

      Take the cross product of u1 and u2 to get u3. It is guaranteed to be orthogonal to u1 and u2.

  • @brendonhongpong8459
    @brendonhongpong8459 6 років тому +2

    thanks you so much

  • @spideybot
    @spideybot Місяць тому

    Thank you, it¨s so hard to find a good explanation in either czech (my native and the language I'm studying in) and english (my second language)

  • @theonlyanoneradipta3133
    @theonlyanoneradipta3133 Рік тому

    Nice explanation sir

  • @richardappiah-kubi3007
    @richardappiah-kubi3007 6 років тому

    why did you not find the unit vector of v1

  • @chichagg
    @chichagg Рік тому

    tysm

  • @cutestbear3327
    @cutestbear3327 2 роки тому +1

    sweeet~

  • @김민서-d7t8v
    @김민서-d7t8v 3 роки тому

    이거다...

  • @ShocBox
    @ShocBox Рік тому

    you click your tongue too much buddy very gross

  • @mightyduckyo
    @mightyduckyo 7 років тому

    Don't think this is a concrete example, concrete implies physical - something that can be touched