Introduction to Linear Algebra: Systems of Linear Equations

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  • Опубліковано 25 сер 2024

КОМЕНТАРІ • 111

  • @cli4rd
    @cli4rd 4 місяці тому +4

    I am currently taking this subject at my university and my professor didn't bother to explain what linear algebra is for, she just went on teaching matrices immediately. Watching that milk and OJ example and then the plane intersections made me realize how much I will miss out if I just listened to my professor and don't watch videos like these. Thank you!

  • @ethancooper4154
    @ethancooper4154 4 роки тому +86

    I found this channel in my freshman chemistry class because the chemistry classes provided to electrical engineers sucks here and now as I'm about to graduate I'm still leaning on this man for education lol

  • @galaxybuzz6765
    @galaxybuzz6765 6 років тому +81

    Idk if it's just me but you always upload the day i need these things

  • @marcuslavery7234
    @marcuslavery7234 Рік тому +35

    Found this 1 day before my end of year exam, turned my 30% into a 60% overnight. Brilliant series.

    • @Karthik-nv4vv
      @Karthik-nv4vv 9 місяців тому

      lol i have the final tomorrow and i'm watching this now

    • @yolanda6392
      @yolanda6392 7 місяців тому

      @@Karthik-nv4vvsame

  • @Sasquatch1s3r
    @Sasquatch1s3r 5 років тому +65

    I really appreciate your time and effort for creating this videos

  • @stevenlomon
    @stevenlomon 9 місяців тому +3

    You are doing the world an invaluable favor with these playlists, a true gift to the world. Expressing my deepest gratitude!

  • @user-cp6oj4vo9n
    @user-cp6oj4vo9n 2 роки тому +9

    Thanks man. I am choosing the electives for my studies and I was considering linear algebra among others. Your video explained it to me perfectly, thank you

  • @ericfricke4512
    @ericfricke4512 4 роки тому +112

    Why did my teacher just skip over all this.

    • @itotallyagreewithyou6586
      @itotallyagreewithyou6586 3 роки тому +11

      Bad teacher

    • @pinklady7184
      @pinklady7184 3 роки тому +9

      That is why I have taken to self-studying from books and videos taught by other teachers. I watch tutorials by various tutors, as they all have their own styles of teaching.

    • @mearionet
      @mearionet Рік тому +6

      Because its not highschool material

    • @RigoVids
      @RigoVids Рік тому

      They want you to know what you’re getting into BEFORE YOU SIGN UP. I know it’s stupid but they perceive it as wasting their time.

    • @Flaystray
      @Flaystray Рік тому

      Might have gone to a good school, so they just assumed you'd figured it out with your superior brain. It's a lot of elitism that results in non-generalizable teaching

  • @ignantxxxninja
    @ignantxxxninja 3 роки тому +6

    I like the gradual progression of the video.. from milk and OJ, to transcending our ability to represent things geometrically. Wasn't overwhelmed, as I know I will be taking this course soon lol

  • @jacksonkarlovsky1693
    @jacksonkarlovsky1693 5 років тому +12

    It is very easy to understand , especially the milk and OJ part :)

  • @simply6162
    @simply6162 9 місяців тому

    this is the best free course on linear algebra PERIOD!!!!1

  • @julieeee8389
    @julieeee8389 3 роки тому +4

    I hope u can upload ABSTRACT ALGEBRA coz ur really are a great teacher

  • @alaazamel8176
    @alaazamel8176 4 роки тому +5

    Thanks for this perfect explanation ..... best professor ever

  • @gabijagorobecaite8037
    @gabijagorobecaite8037 3 роки тому +9

    You make AMAIZING super clear videos that just saved me at math course in uni. Unfortunately I can`t find any lessons of yours about direction - slope field and differential equatations... If you haven`t, it would be extremely cool if you made some ^^

    • @ProfessorDaveExplains
      @ProfessorDaveExplains  3 роки тому +9

      Coming soon!

    • @leprachaunn
      @leprachaunn 11 місяців тому +1

      @@ProfessorDaveExplainscan you make some on linear operators too. the explanations are really awesome

  • @gradientO
    @gradientO 6 років тому +9

    *What about doing **_Fluid Mechanics?_*

  • @ARBB1
    @ARBB1 6 років тому +12

    >Linear Algebra
    Is this a warning for a QM series

  • @tiagotassinari1435
    @tiagotassinari1435 2 роки тому +3

    Thanks so much for the wonderful explanations!!

  • @shivam6565
    @shivam6565 Рік тому

    Thank you Professor - from one of your students on the other side of the planet.

  • @amarjotsingh9676
    @amarjotsingh9676 5 років тому +2

    probably best intro song

  • @I-Love-God-Forevermore
    @I-Love-God-Forevermore Рік тому

    hello, would you mind solving these 2 problems?
    Exercise 0.3 Find the equation of the line obtained by reflecting the line 2x+ 3y = 6 in the
    line y = x . Describe the relationship between the slopes of the original and the reflected lines.
    Exercise 0.4 Find the equation of the line obtained by rotating the line 2x + 3y = 6 ninety degrees anticlockwise about the origin. Describe the relationship between the slopes of the original and the rotated lines.
    thanks

  • @ProgrammingAndCS-ko1ww
    @ProgrammingAndCS-ko1ww 8 місяців тому

    i watch you channel like my fav tv show

  • @unknowngozi6386
    @unknowngozi6386 3 роки тому +1

    Congratulation for the 1M subscriber YOU DESERVE IT👍👏👏👏👏

  • @vegardliland2387
    @vegardliland2387 6 років тому +2

    ty!

  • @lovelygracelobedica9036
    @lovelygracelobedica9036 4 місяці тому

    Very informative.

  • @rahmatrad4599
    @rahmatrad4599 Рік тому

    Thanks for very helpful videos

  • @transfo47
    @transfo47 5 років тому +5

    Hey Dave, looking over your videos for some ideas for lectures. Why are the videos near the end of the Linear Algebra playlist made private?

  • @mariadle8715
    @mariadle8715 Рік тому

    Thank you

  • @WolMaror-wi5ly
    @WolMaror-wi5ly 10 місяців тому

    It is very interested here
    It has helped me a lot ❤

  • @snakeywakey3893
    @snakeywakey3893 3 роки тому

    Very helpful.

  • @henrykretschmer7711
    @henrykretschmer7711 4 роки тому +2

    I’m taking Linear Algebra next semester. If both a line and plane can yield infinite many solutions, wouldn’t the infinity describing the plane be greater than the infinity describing the line????? Some infinities are bigger than others?

    • @Basilisk2077
      @Basilisk2077 4 роки тому

      Yes, because a plain is a 3D object, right?
      Some infinities are definitely infinitely bigger than others, although it does self-contradict it’s self because nothing is bigger than infinity - it’s just a concept for the purpose of mathematics.
      But a plain extends beyond the realm of 2d, so it is infinite two realms? Two infinites are better than one. My brain hurts.

  • @user-sb2lu3vx8b
    @user-sb2lu3vx8b Рік тому

    Thanks for great explanation :)

  • @20891
    @20891 4 роки тому +2

    U can take linear algebra before calculus and do well

  • @andreangasha3677
    @andreangasha3677 Рік тому

    Amazing!

  • @jenm1
    @jenm1 4 місяці тому

    milk and orange juice is pretty relevant to me since I have to take the bus and I can't carry more than 60lb lol

  • @lunurulz
    @lunurulz 3 роки тому

    good stuff

  • @aashsyed1277
    @aashsyed1277 3 роки тому

    6:02 exepet they are raised to the 1st power

  • @zaidfanek2610
    @zaidfanek2610 Рік тому

    Can you make a series on Abstract algebra (Modern Algebra) more specifically cosets and isomorphisms

  • @SaleemKhan-nu7mu
    @SaleemKhan-nu7mu 3 роки тому

    Thank you very much you literaly saved my life*_*

  • @neurodivergentsophie8411
    @neurodivergentsophie8411 4 роки тому +1

    What's a parameter?

  • @celsiusfahrenheit1176
    @celsiusfahrenheit1176 2 роки тому

    got it, thx

  • @aminekaouche1390
    @aminekaouche1390 Рік тому

    You are brilliant professor thank you, can you recommand a book with this cronology of courses and informations. Thank you for the seconde one.

  • @Yuu.riishii
    @Yuu.riishii Рік тому

    Preparing for my comprehensive exam and it will be on two days before this. I hope I can everything here :((

  • @deltacream
    @deltacream 3 роки тому

    So that's why my dad took so long to buy the milk and didn't come back for 10 years...
    All jokes aside, this was a necessary refresher, I want to advance to matrices and find out what's the big deal about them.

  • @KushG420
    @KushG420 2 роки тому

    very important 10 minutes indeed

  • @danielecarmona
    @danielecarmona 5 років тому +2

    Why last lessons are privat?

  • @gradientO
    @gradientO 6 років тому +3

    *_Which software do you use to animate?_*

  • @ptyptypty3
    @ptyptypty3 4 роки тому +5

    but I'm lactose intolerant... can I use Budlight Beer instead of Milk? :D

  • @kentjustine5029
    @kentjustine5029 10 місяців тому +1

    Thank thou math jesus

  • @dmwreath
    @dmwreath Рік тому

    man do i love professor dave

  • @azadprasad856
    @azadprasad856 6 років тому +3

    great

  • @divyanshupandey1702
    @divyanshupandey1702 6 років тому +2

    Hello 😀

  • @dwinapettalolo5296
    @dwinapettalolo5296 3 роки тому

    cool!!

  • @balakumaran6056
    @balakumaran6056 3 роки тому

    "You are my math god "🙏

  • @radioboyintj
    @radioboyintj 4 роки тому

    y=mx+b
    I learned this in Algebra 1 in high school

  • @stevedahlberg8680
    @stevedahlberg8680 2 роки тому

    I hate to say it but I'm stymied on the steps it takes to get to the answer in the comprehension question. I've tried it several different ways but I always end up with a zero in each line in a different spot and it seems to preclude doing anything further.
    My guess is that I am doing some row operations that aren't legal but I checked it over and over and they all seem to be multiplying a row by something or adding and subtracting them in some way. I tried to work backwards from the answer and that didn't help either.

    • @stevedahlberg8680
      @stevedahlberg8680 2 роки тому

      For example if I do R2-R3 to get new 2nd row, then 2R1+R2 to get new 1st row, then I've got:
      0 5 2 16
      -2 3 0 6
      4 0 5 2
      Now what?

  • @veerrajuannamdevula9939
    @veerrajuannamdevula9939 5 років тому +1

    Sir what's the difference or similarities between a vector in maths and physics

  • @ceoofmemes1967
    @ceoofmemes1967 3 роки тому

    Why am I learning this before I take calculus 1 for college if it's supposed to be after calculus? Should I talk to someone about changing it?

    • @ProfessorDaveExplains
      @ProfessorDaveExplains  3 роки тому +1

      Well it's common to learn the very basics of systems of linear equations in algebra 2, including basics regarding matrices.

    • @ceoofmemes1967
      @ceoofmemes1967 3 роки тому

      @@ProfessorDaveExplains holy crap i didn't think you would reply on such an old video. But do you think its okay for someone to take linear algebra with no knowledge of calculus? I'm pretty nervous about it

    • @ProfessorDaveExplains
      @ProfessorDaveExplains  3 роки тому +1

      Honestly I don't think you are learning linear algebra, that is done after calculus. You are probably learning how to solve two equations with two unknowns, that sort of thing. That's learned in high school algebra. I wouldn't worry about it.

    • @ceoofmemes1967
      @ceoofmemes1967 3 роки тому

      @@ProfessorDaveExplains okay it turns out you're right, my college advisor just said linear algebra but it's actually just college algebra, which I assume is a more difficult version of high school algebra.

    • @bulaloitech
      @bulaloitech Рік тому

      @@ceoofmemes1967 Do you guys take college algebrea in a whole semester?

  • @aidanepply-schmidt1647
    @aidanepply-schmidt1647 10 місяців тому

    Is there a deep, Star Wars-y reason behind why you chose to make the milk variables blue…?

  • @ankuuchauhan7689
    @ankuuchauhan7689 2 роки тому

    Please translate these videos in hindi😌 I want learn math i don't know English

  • @garymichael7937
    @garymichael7937 3 роки тому +2

    He"s Great I am Gary I am a(5 year old boy)
    bye

  • @storminnorrin6676
    @storminnorrin6676 Рік тому

    5 gallons of milk for $10?!?!

  • @yuecongl4743
    @yuecongl4743 Рік тому

    Thank you so much, my linear algebra teacher explain nothing on class😣😭

  • @adityagaur1196
    @adityagaur1196 2 роки тому

    Bennettians say oyeah

  • @dlptube1
    @dlptube1 5 років тому +2

    First video i see from this channel, all good, nice and simple way of explain the content. The only thing bad, very bad, is the use of that stupid units system, please use the international standar metric system. Is way, way better. Usa system is crap in many ways, please push to change that!

  • @aayushramphal4804
    @aayushramphal4804 11 місяців тому

    All my dani supporters thinking milk gang in top😂

  • @joshuarebello9651
    @joshuarebello9651 Рік тому

    I love you math Jesus

  • @veerrajuannamdevula9939
    @veerrajuannamdevula9939 5 років тому

    Sir plzzzz answer my question "why vectors are represented as rays and y not curves,lines?"really want to know the answer I didn't understand the answer in many websites hope u would clear it!

    • @ProfessorDaveExplains
      @ProfessorDaveExplains  5 років тому +4

      a vector has finite magnitude and specific direction, curves don't have a specific direction as they curve, and lines don't have magnitude as they extend infinitely in both directions, so they are totally different mathematical constructs.

    • @veerrajuannamdevula9939
      @veerrajuannamdevula9939 5 років тому

      Oh!! tnxx a lot sir.then y can't we represent them as line segments (is it bcuz they don't have direction)?

  • @amarjotsingh9676
    @amarjotsingh9676 5 років тому +1

    why are u talking same thing again

  • @kj7767
    @kj7767 2 роки тому

    ماعليكم من الي ارسل بالقروب , الرجال قاعد يهبد مايعرف شيء .

  • @SnehaBhattPhysics
    @SnehaBhattPhysics 6 років тому

    Why dont you translate it in hindi!! It would be very helpful😃

  • @hassannaeem4034
    @hassannaeem4034 3 роки тому +1

    i hate Mathematics