The Column Space of a Matrix

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  • Опубліковано 22 гру 2024

КОМЕНТАРІ • 51

  • @eqwerewrqwerqre
    @eqwerewrqwerqre Рік тому +16

    My university was clearing out excess math books they had that nobody wanted and i managed to grab a copy of Strang's Introduction to Linear Algebra signed in the front and addressed to an old professor i had who's since retired.
    I've been working through more sophisticated applied linear algebra in the lead up to quantum mechanics and want to thank dr Strang for such a wonderful resource. I doubt he'll see this but i hope someone does

    • @tejasgudi1169
      @tejasgudi1169 Рік тому +1

      Hey @eqwerewrqwerqre, I am a sophomore student doing CSE and am very interested and wanted to learn about quantum mechanics, and I don't know where to start, can you point me to some books or channels on YT.

    • @vyrsh0
      @vyrsh0 10 місяців тому

      ​@@tejasgudi1169 3b1b

  • @ivanwen8335
    @ivanwen8335 6 років тому +132

    He explained it much better than whatever the hell my prof did with an hour

  • @donaldbesong8853
    @donaldbesong8853 4 роки тому +13

    When I was doing Technology in Sweden, we used his book as our main text for linear algebra. He is a great mathematician.

  • @dominicj7977
    @dominicj7977 4 роки тому +6

    I graduated from college 4 years ago but still visits this channel occasionally

  • @brainboyben
    @brainboyben 3 роки тому +9

    Wow, he made it so simple. Thank you Gilbert and MIT!

  • @jacksonmckenzie2172
    @jacksonmckenzie2172 7 років тому +22

    Taking linear algebra right now. The video lectures and Professor Strang have been very helpful!

  • @KorawichKavee
    @KorawichKavee 8 років тому +142

    good explanation , but what happened to that microphone

    • @mr22b56
      @mr22b56 5 років тому +16

      he is cursing 😂

    • @dyaaelabasiry
      @dyaaelabasiry Рік тому

      @@mr22b56 😂😂😂😂

  • @georgesadler7830
    @georgesadler7830 3 роки тому +1

    The father of linear algebra has arrived. These lectures are powerful.

  • @pranavgandhi9224
    @pranavgandhi9224 4 роки тому +1

    Vedios of Sir Gilbert Strang are so helpful....He always explains such a diffcult topics ...so easily and intresting ly

  • @trumanhung
    @trumanhung 6 років тому +8

    Respect to Prof. Strang!

  • @sanchitagarwal8764
    @sanchitagarwal8764 2 роки тому +2

    Thanks for the brilliant explanation Prof Strang

  • @pasavant
    @pasavant Рік тому +1

    I never could understand the new math, and I think he is just making this stuff up .

  • @aftabahmad7578
    @aftabahmad7578 5 років тому +20

    excellent explanation i love you sir with great respect may allaha give you good health and prosperity you are a great teacher

  • @hlynurjohannsson1617
    @hlynurjohannsson1617 6 років тому +2

    What a legend. plain and simple

  • @anissaadmathematics
    @anissaadmathematics 3 роки тому +1

    this is an easiest way to understand linear algebra. thank you very much

  • @andiewang6643
    @andiewang6643 5 років тому +2

    Is there no chapter 4? The label jumps from video 3.3c (the tumbling box) to video 5.1

  • @thomash7309
    @thomash7309 6 років тому +1

    Excellent explanation. Thanks to Prof. Strange.

  • @luke9771
    @luke9771 4 роки тому +11

    Wait! Is this why in differential equations, to solve we always need both a particular solution and a homogeneous solution????!?!?!?!?

    • @ronicave8522
      @ronicave8522 4 роки тому +3

      Indeed. That part of finding solutions to second order differential equations makes a lot more sense with linear algebra in mind.

  • @saikumartadi8494
    @saikumartadi8494 6 років тому +7

    legend !!

  • @rawanfouda2291
    @rawanfouda2291 5 років тому

    I still do not get what does it mean the V complete is equal to v particular + v null?? is that the same as saying that Rank+nullity= n? Please anyone?

  • @Can-tf5xz
    @Can-tf5xz 3 роки тому

    God bless you man... what a legend.

  • @sripad72
    @sripad72 2 роки тому

    Great Mathematician. Hats off

  • @LeaoDN
    @LeaoDN 4 роки тому

    v is the paint still in the can and A is the painter... Some low rank painters (like me) can paint only a straight line, others can paint only a wall and the complete ones can paint the whole 3D space by throwing the v-paint anywhere they want.

  • @mustafizurrahman5699
    @mustafizurrahman5699 Рік тому

    Mesmerising

  • @HosRo4161
    @HosRo4161 Рік тому

    Thank you!

  • @ahmetsafayazici
    @ahmetsafayazici 3 роки тому +1

    all of those old version videos much better sound quality lol

  • @brenmclean
    @brenmclean 6 років тому

    What is the basis and dimension of the span of a system that is inconsistent?

    •  6 років тому

      I think we first should determine what kind of space we are looking at: column space, null space, or row space.

    • @MohOEM
      @MohOEM 5 років тому +1

      Check this video:
      ua-cam.com/video/eeMJg4uI7o0/v-deo.html

    • @shabadvaswani5576
      @shabadvaswani5576 2 місяці тому

      @@MohOEM Thanksss

  • @shabadvaswani5576
    @shabadvaswani5576 2 місяці тому

    This is golddddd😭😭😭

  • @MattieZettner
    @MattieZettner 10 місяців тому

    Very helpful!

  • @arminkrahbar
    @arminkrahbar 3 роки тому +1

    He reminds me of Frank in Shameless.

  • @hanifchusnul2301
    @hanifchusnul2301 5 років тому

    So that's what it meant by particular solution plus general solution....

  • @TheudosGauh2946
    @TheudosGauh2946 4 роки тому +3

    What is wrong with the microphone..Initially i thought it is my computer. Then i realized it isn’t.

  • @yoavxyoav
    @yoavxyoav 5 років тому

    Great! Clear and to the point. But fire th video guy :)

  • @smuksm
    @smuksm 5 років тому +4

    Cutest prof ever!!

  • @pianoforte17xx48
    @pianoforte17xx48 4 роки тому

    God take the soul of the camera man. He just ruined a gem..

  • @bagsy75
    @bagsy75 6 років тому

    nice vid 🙂

  • @araafdr
    @araafdr 2 роки тому

    ok

  • @jackstratif6937
    @jackstratif6937 6 років тому +10

    Ironic that an MIT video has such shitty sound quality. Good content though.

  • @psyno1856
    @psyno1856 4 роки тому

    A God