Three Subspaces Associated with a Matrix: Nullspace, Rowspace, and Colspace

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  • čas přidán 8. 03. 2016
  • This video is a crash course on three subspaces associated with a given m X n matrix A: the null space, row space, and column space of a matrix. The video also explains the very important Rank-Nullity Theorem.

Komentáře • 78

  • @tariktemur6349
    @tariktemur6349 Před 7 lety +87

    Best lecture on the subject you can find on the internet.

  • @punditgi
    @punditgi Před 3 lety +7

    Absolutely beautiful! This instructor is a gift from the gods. I love all his videos. His students are incredibly lucky. At 72 years of age I have seen many teacher in action of all skill levels. This one gets an A+! 😃👍

  • @DoubleDcreations
    @DoubleDcreations Před 6 lety +17

    You not only communicated the material effectively, but did it with charisma! Awesome video Scott. After hours of confusing textbook reading I finally understand what they were talking about.

  • @ericschick88
    @ericschick88 Před 6 lety +11

    Normally not a fan of linear algebra, but your teaching style and enthusiasm made this section enjoyable to learn.

  • @tessacarstairs5998
    @tessacarstairs5998 Před 4 lety +9

    My professor requires us to watch this video. Awesome explanation and I’m so inspired by your enthusiasm sir!

  • @RingxWorld
    @RingxWorld Před 8 lety +31

    not in your class but you deserve more views

  • @iinsomny
    @iinsomny Před 2 lety +1

    I've watch about 8 videos today trying figure out row space, column space, and nullity. All of them left me very confused but then I came to this video and ISTG I jumped outta my seat when you told me what I needed to do find the nullity. Thank you so much!!!!!

  • @timothybracken1728
    @timothybracken1728 Před 5 lety +1

    After countless videos, you are the only one that can explain things in a concise but approachable manner. Thank you so much Scott!

  • @mupetman1214
    @mupetman1214 Před 4 lety +2

    Im honestly upset that I found this man so late in the semester, keep up what you're doing. its honestly great!!

  • @maveeehcriticalsolutionext4986

    best of the best summary one can get

  • @desiresiabuwasupersounds

    Sir you are the best lecturer I have ever watched, keep this good work kindly do more videos on vector spaces.

  • @enzaaa
    @enzaaa Před 2 měsíci

    I have a final tomorrow and i gotta say it helped me a lot!!!

  • @KhanG-uo3rw
    @KhanG-uo3rw Před 7 lety +6

    Your teaching style is amazing and your smile is also gorgeous looking ;)

  • @lastchance8142
    @lastchance8142 Před 5 lety

    Brilliant description and insight for the topic! This is what a teacher is supposed to look like. Blessings to you sir.

  • @alemdinarevic6223
    @alemdinarevic6223 Před 6 lety

    What a great guy this is. Thank you very much, sir!
    Warm regards from Bosnia and Herzegovina.

  • @prachitamta4098
    @prachitamta4098 Před 4 lety

    Very easily explained. Best!

  • @mountassaralimi8884
    @mountassaralimi8884 Před 5 lety +2

    Yooo! Thank you for explaining this so smoothly

  • @valadezangel6
    @valadezangel6 Před 7 lety +1

    Hey Scott thanks for the quick lecture this video was gold man. Now i feel more confident heading into my midterm.

  • @chimchady3149
    @chimchady3149 Před 3 lety +2

    thank you for the video! it's very clear and detailed. i love the way you teach!

  • @iqchank2106
    @iqchank2106 Před 7 lety +1

    I just happened to find this while looking for study material. It helped a lot, thanks.

  • @stephenpoanessa198
    @stephenpoanessa198 Před 7 lety +1

    Your videos are great, thanks so much for posting them!

  • @anthonypascual9347
    @anthonypascual9347 Před 6 lety

    This video was just awesome! Thanks for the clear explanations!

  • @zjyj520520dd
    @zjyj520520dd Před 7 lety +3

    great lecture, this just covered my class in this week!!!

  • @davidmartinez8714
    @davidmartinez8714 Před 6 lety

    best lecture on this subject by far. you should definitely upload more videos, its hard to find a great teacher that explains these subjects well

  • @rachellin5311
    @rachellin5311 Před 4 lety

    Best lecturer ever. Thank you so much!

  • @robinz4477
    @robinz4477 Před 4 lety

    Clear explanation and enthusiasm! Thank you!

  • @TheRealJavahead
    @TheRealJavahead Před 5 lety

    First video of yours I have found. Your presentation of the subject matter is so clear and concise. I'm now a subscriber and am going to share your channel link with my linear algebra course buddies. Thank you for uploading this content.

  • @Alfredo52993
    @Alfredo52993 Před 7 lety +1

    You are the best, this makes total sense. Thank you so much

  • @alexandermichael3609
    @alexandermichael3609 Před 4 lety

    Thank you, it's a best lecture which help me make an easy understanding of nullspace & column space & row space. Thank you again.

  • @xeronify3680
    @xeronify3680 Před 3 lety

    All in 20 minutes. thank you sir. You rock!

  • @apoorvvyas52
    @apoorvvyas52 Před rokem

    Very clear explanation.

  • @MrRaminfar
    @MrRaminfar Před 7 lety +8

    scott can you please share vid of all your lectures.... your vid are awesome and very helpfull... thanks

  • @bigblade9645
    @bigblade9645 Před 3 lety

    You're amazing sir. Im amazed why you don't have more views... I hope you're still doing this and I wish you more and more success as a lot more people will receive the amazing knowledge you have to share

  • @jjjgig
    @jjjgig Před 6 lety +1

    Best lecture on subspaces......

  • @michaelkievits7073
    @michaelkievits7073 Před 5 lety +1

    you're an absolute legend!

  • @yousuffarhan963
    @yousuffarhan963 Před 4 lety

    Excellent work. Keep it up!

  • @alkankondo89
    @alkankondo89 Před 5 lety

    Very clearly taught -- well-worth the 20 minutes spent watching!

  • @mr_o47
    @mr_o47 Před 5 lety

    Best Lecture so far

  • @anethu4540
    @anethu4540 Před 7 lety +1

    Thank you so much, that was very helpful.

  • @sheruloves9190
    @sheruloves9190 Před 4 lety

    Amazing... keep on making videos like tthis and arrange them in playlists
    ur channel will surely rock

  • @unkown7543
    @unkown7543 Před 3 lety

    amazing explanation!

  • @user-yg6fq4zw6t
    @user-yg6fq4zw6t Před 2 měsíci

    great teacher

  • @aungswesingmarma4659
    @aungswesingmarma4659 Před 4 lety

    thank you sir, your explanation is very amazing

  • @zorgivanov8685
    @zorgivanov8685 Před 4 lety

    Goddamn it, thank you for your precious videos !

  • @ashishgor2163
    @ashishgor2163 Před 3 lety

    Excellent sir. Thank you

  • @ankitb3954
    @ankitb3954 Před 5 lety

    ERO means elementary row operations. got that after 3rd playback. Great lecture by the way

  • @GustavoMontanha
    @GustavoMontanha Před 4 lety

    pretty good lecture. thanks.

  • @abdelrhmandameen2215
    @abdelrhmandameen2215 Před 3 lety

    great work

  • @masoudjafary6304
    @masoudjafary6304 Před 3 lety

    pls put all those related videos in a playlist. It would be easier to find the topic one would be looking for.

  • @DrBlighty
    @DrBlighty Před 5 lety

    Excellent!

  • @helena4503
    @helena4503 Před 6 lety

    So Good! Thank you so much!!!!!

  • @mariammansoor2279
    @mariammansoor2279 Před 3 lety

    best explanation

  • @ajaychinni3148
    @ajaychinni3148 Před 5 lety

    Cleared all my doubts

  • @yunlingzhang6019
    @yunlingzhang6019 Před 3 lety

    This literally saved my grade!

  • @deepakreddymusku8806
    @deepakreddymusku8806 Před 2 lety

    thank u sir love from india 💕

  • @casabelavistabv3444
    @casabelavistabv3444 Před 2 lety

    Best best very thank you

  • @userkkang1227
    @userkkang1227 Před 3 lety

    LEGEND

  • @ravihatti6719
    @ravihatti6719 Před 4 lety

    Thank you for the video. he

  • @hongchengzheng3780
    @hongchengzheng3780 Před 4 lety

    Your video, my hope.

  • @nasserabdullah9458
    @nasserabdullah9458 Před 5 lety

    you are the best

  • @Dimwol333
    @Dimwol333 Před 4 lety

    holy shit, this guy is good!!!!

  • @anshumanmishra2555
    @anshumanmishra2555 Před 4 lety

    Wow! you just made it easy

  • @EricFirst
    @EricFirst Před 5 lety

    Good stuff. I tried this in Sage Math, and seem to get one of the basis vectors different for colspace (I.E. [0,3,-1,2] instead of [2,1,1,0]). What am I doing wrong?

  • @juliawebb9346
    @juliawebb9346 Před 6 lety

    AWESOME

  • @aubrey1008
    @aubrey1008 Před 4 lety

    Please put up more math videos

  • @TheDannypapish
    @TheDannypapish Před 6 lety

    Great lecture just one question: in the example with the row space you said that the rank(A) is the unpivoted columns and in the example with the row space you said that it’s the pivoted rows. Can you clarify this please? Thanks

    • @TheDannypapish
      @TheDannypapish Před 6 lety

      *im sorry, the first example was the null space

  • @jonesy2975
    @jonesy2975 Před 6 lety

    Nice

  • @mathematicswithahmedhafeez934

    What is condition of two equal row spaces????

  • @enjoywithmaths17
    @enjoywithmaths17 Před 3 lety

    Good levture

  • @NotLimitedTo1
    @NotLimitedTo1 Před 4 lety

    You are god. Thank you

  • @TheMultiRio
    @TheMultiRio Před 5 lety

    You saved my ass !!!! Thx

  • @Amanda-lw6tw
    @Amanda-lw6tw Před 5 lety

    wow

  • @vinayvarma1956
    @vinayvarma1956 Před 5 lety

    I'm nailing tomorrow's exam.

  • @mathematicswithahmedhafeez934

    help me

  • @gentlemandude1
    @gentlemandude1 Před 3 lety

    Good explanation, but too many acronyms; just say the words.