Row Space, Column Space, and Rank

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  • Опубликовано: 21 дек 2024

Комментарии • 72

  • @jarlhamm
    @jarlhamm 5 лет назад +54

    Thank you so much for this video. I have spent all weekend trying to figure this one thing out - this is literally the only piece of media (including things online!) that I have found that actually is clear and not full of gross math jargon. My hero of the month for sure!

    • @MathKJW
      @MathKJW  5 лет назад +9

      Jarl Hamm Wow, you made my day! Keep working hard and it’ll pay off.

  • @PatrickLoobs
    @PatrickLoobs 3 года назад +4

    I love how you got to explain everything in one “slide”! And you explained them very well. Danke!

  • @TARIQLES
    @TARIQLES 6 лет назад +2

    you ARE A LIFE SAVER. You sound calm. Straight to the point. God bless you g

  • @anshumansingh9935
    @anshumansingh9935 6 лет назад +21

    Very clear and to the point explanation. Thank you very much for uploading this vid. Keep up the good work.

  • @hengirmen
    @hengirmen 4 года назад +3

    dude u re awesome. My profs can't hold a candle to you in teaching.

  • @chloetzpiano6548
    @chloetzpiano6548 6 лет назад +81

    Exam in 2 hours, n i finally understand it

    • @MathKJW
      @MathKJW  6 лет назад +7

      Ichinose Kai Good luck!

    • @hearthacker5565
      @hearthacker5565 4 года назад +1

      @@MathKJW can u plz explain me how ist row in rref comes😢

    • @chifaelebrun2738
      @chifaelebrun2738 4 года назад +1

      @@hearthacker5565 he used elementary row operations, there many ways to check it online

    • @hearthacker5565
      @hearthacker5565 4 года назад +3

      @@chifaelebrun2738 thanks, Later on i had made research on that topic . And yes i got it

  • @thodorisevangelakos
    @thodorisevangelakos Год назад +2

    Great explanation, thank you for your contributions! Not sure if the concept was very simple but you sure made it look as simple as 1+1=2!

  • @Treegrower
    @Treegrower 4 года назад +3

    Very clear explanation. Just what I was looking for. Thanks for sharing!

  • @rdjess
    @rdjess 4 года назад +11

    As I watch this video, 75% of my brain is paying attention, and 25% is wondering how to pronounce his last name.

    • @marekjanik9962
      @marekjanik9962 3 года назад +1

      Don't bother, it's way too Polished

  • @ericl3347
    @ericl3347 5 лет назад +1

    Finally a clear and concise explanation!

  • @thatkido612
    @thatkido612 5 лет назад +4

    This is amazing! Precise and clear to the point, thank you!

  • @c-1370
    @c-1370 Год назад +1

    Thank you so much for this video. you really helped me.

  • @jellyfish2343
    @jellyfish2343 10 дней назад

    You just made this super simple thank you so much!

  • @Repstar00
    @Repstar00 3 года назад +2

    Great explanation, really cleared everything up in a great manner

  • @HandyMath123
    @HandyMath123 7 лет назад +2

    hey, thanks sir for the enlightment. I'm so happy can find your explanation over here. It's really helpful for me.

  • @poojitha
    @poojitha 4 года назад +1

    Life-saving. Thanks a lot.

  • @tabotcharlesbessong3756
    @tabotcharlesbessong3756 3 года назад +2

    Thank you sir . Hope to get more interesting tutorial like this again

  • @Mulkek
    @Mulkek 3 года назад +3

    Thanks, and it's so easy & simple!

  • @kabokbl2412
    @kabokbl2412 Год назад

    Thanks prof , got hungry at the end hearing the plates, have a nice day sir

    • @MathKJW
      @MathKJW  Год назад

      That was probably my dog stealing my food!

  • @sagechamberlain7986
    @sagechamberlain7986 3 года назад

    Thank you Keith.

  • @shelinapanguraj7997
    @shelinapanguraj7997 7 лет назад

    Tq....
    Now I got an idea from ur video ......
    Keep doing ur Good work

  • @cornmasterliao7080
    @cornmasterliao7080 Год назад

    can I represent the row space and column space using only the basis vectors? instead of the row or column vectors from the original matrix.

  • @Jacob-ww7km
    @Jacob-ww7km 5 лет назад +1

    Very useful recap, thank you sir.

  • @00f00i00s00l00
    @00f00i00s00l00 5 лет назад +1

    easy and simple, THANKS A LOT

  • @pinkkitty6553
    @pinkkitty6553 Год назад

    very well explained thanks a lot sir

  • @benkrauss5041
    @benkrauss5041 Год назад

    Dude thank you so much

  • @MrSinemax
    @MrSinemax 3 года назад +3

    Great video sir but your Reduced Row Echelon form is slightly wrong, that mistake leads you to the wrong answer. With the correct form, your Rank should be three.

    • @josephweyand8883
      @josephweyand8883 Месяц назад

      I did the calculation of the rref in my calculator and got the same answer as him so I think it’s right

  • @engrimranakram2702
    @engrimranakram2702 4 года назад +1

    kindly gives complete example of column space and null space with complete row etiolon form.

    • @MathKJW
      @MathKJW  4 года назад +1

      Thanks Imran. It is indeed an example, I assume that you already know the definitions so now you need to apply them.

  • @pijushpanday3509
    @pijushpanday3509 Год назад

    The basis vector of Row(A) has 5 element, How the row rank is 2? Please explain

    • @khaledalbkeirat3421
      @khaledalbkeirat3421 Год назад

      Rank could also be the non zero rows so in A 3 rows 1 row has zeros the other 2 don’t so rank of A would be 2

    • @khaledalbkeirat3421
      @khaledalbkeirat3421 Год назад

      Hope that helps sorry for the late reply

  • @vishnoo_prasad_m
    @vishnoo_prasad_m 3 года назад

    Thanks ❤️

  • @HopefulRaccoon
    @HopefulRaccoon 4 года назад

    Thank you so very much you're amazing

  • @ttneedtostudy
    @ttneedtostudy Месяц назад

    I finally understand but miss in the middle-tern exam QQQQQ

  • @omegapolar1355
    @omegapolar1355 4 года назад

    thank you

  • @likhithabanothu1307
    @likhithabanothu1307 3 года назад +1

    Thankyou

  • @yasmeenamr6321
    @yasmeenamr6321 4 года назад

    That is helpful, thank you

  • @Francois6048
    @Francois6048 5 лет назад +1

    thank you very much! I see you play guitar, amazing, me too. No math without guitar break right :D

  • @suihangao9173
    @suihangao9173 5 лет назад +1

    I am doubt that you did the RREF wrong. (maybe my mistake). but the last number of the first line should be "-5" not 3.

    • @hearthacker5565
      @hearthacker5565 4 года назад

      How he did rref. Which operation he applied

  • @bladongarland8635
    @bladongarland8635 4 месяца назад

    You did not explain what rref is or how to compute it

  • @jesbinjose198
    @jesbinjose198 5 лет назад +1

    Are u saul Goodman?
    You just sound like him.
    Anyway nice lecture ✌

  • @OnMyGameplay
    @OnMyGameplay 6 лет назад

    Why you did reduced form form for row and column space ? I thought reduced form can only be used for nullspace. And echelon form for row space and column space. am i wrong

    • @MathKJW
      @MathKJW  6 лет назад +2

      Hakan Bozkurt Primarily because you need to determine which columns are linearly dependent. If you didn’t obtain the rref, a matrix could look like it is at full rank. Take another listen at 1:55 for some more of the subtleties.

    • @OnMyGameplay
      @OnMyGameplay 6 лет назад

      @@MathKJW so my theorem is correct right? Because i can find dependent zero rows before rref (in echelon)

    • @MathKJW
      @MathKJW  6 лет назад

      Hakan Bozkurt I’m not sure what theorem you are referring to but here is vid on how to find a null space ruclips.net/video/S7olEd3BAAg/видео.html

    • @OnMyGameplay
      @OnMyGameplay 6 лет назад

      @@mertsezen ne diyon la

  • @shahrukhkhalid5727
    @shahrukhkhalid5727 6 лет назад

    so doing echolon form and doing rref u get same answer becuase they are independet?

    • @MathKJW
      @MathKJW  6 лет назад

      shahrukh khalid Echelon form usually indicates whether or not the rows and columns are independent of one another but be careful that you haven’t missed a factor. RREF will make independence obvious. The dimension of the row space will equal dimension of the column space, that is a theorem. Those dimensions also define the rank of the matrix. Note in this example that the third row is NOT independent that’s why we got all 0’s in the RREF.

  • @anoshaaziz7332
    @anoshaaziz7332 5 лет назад

    nailed it

  • @TunaAkmehmet-n2s
    @TunaAkmehmet-n2s Год назад

    2:53

  • @MrityunjaySinghVictor
    @MrityunjaySinghVictor 2 года назад

    In 2022 🙇‍♂️

  • @mmusic.9507
    @mmusic.9507 5 лет назад

    gg to the point

  • @gary6516
    @gary6516 5 лет назад

    Great video, just a little too quiet the audio.

  • @lemyul
    @lemyul 4 года назад

    thanks keith wolfdsfses

  • @cloroxbleach118
    @cloroxbleach118 4 года назад

    spit it out dude....

  • @eduardjoynt4025
    @eduardjoynt4025 2 года назад

    Very poor sound in the video!

  • @khuramkhalid5396
    @khuramkhalid5396 Год назад

    Your voice is too low!

  • @hypeman103
    @hypeman103 4 года назад

    Poor teaching, just talking relations without any explaination
    A = B = C = D
    Cool thank you, but why?

    • @MathKJW
      @MathKJW  4 года назад

      At 1:08 I essentially repeat the definitions of the row-space and column-space with this particular matrix and starting at 1:17 I re-state the definitions in terms of the bases for these spaces. The explanation is based on those definitions.

  • @moviofootgame
    @moviofootgame 2 года назад

    Thank You