Introduction to Linear Algebra: Systems of Linear Equations

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  • Опубліковано 15 січ 2025

КОМЕНТАРІ • 125

  • @cli4rd
    @cli4rd 8 місяців тому +27

    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!

  • @galaxybuzz6765
    @galaxybuzz6765 6 років тому +100

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

  • @ethancooper4154
    @ethancooper4154 4 роки тому +105

    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

  • @MrLingoberry
    @MrLingoberry 4 місяці тому +1

    Thanks!

  • @stevenlomon
    @stevenlomon Рік тому +7

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

  • @Sasquatch1s3r
    @Sasquatch1s3r 5 років тому +68

    I really appreciate your time and effort for creating this videos

  • @marcuslavery7234
    @marcuslavery7234 Рік тому +49

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

    • @Karthik-nv4vv
      @Karthik-nv4vv Рік тому +1

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

    • @yolanda6392
      @yolanda6392 Рік тому

      @@Karthik-nv4vvsame

  • @胡詠瑄
    @胡詠瑄 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

  • @simply6162
    @simply6162 Рік тому +2

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

  • @ericfricke4512
    @ericfricke4512 4 роки тому +143

    Why did my teacher just skip over all this.

    • @itotallyagreewithyou6586
      @itotallyagreewithyou6586 4 роки тому +13

      Bad teacher

    • @pinklady7184
      @pinklady7184 4 роки тому +11

      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.

    • @xmearionet
      @xmearionet 2 роки тому +10

      Because its not highschool material

    • @RigoVids
      @RigoVids 2 роки тому +1

      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 2 роки тому +1

      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

  • @alaazamel8176
    @alaazamel8176 4 роки тому +7

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

  • @jacksonkarlovsky1693
    @jacksonkarlovsky1693 5 років тому +13

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

  • @shivam6565
    @shivam6565 Рік тому +1

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

  • @julieeee8389
    @julieeee8389 4 роки тому +4

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

  • @gabijagorobecaite8037
    @gabijagorobecaite8037 3 роки тому +11

    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 +10

      Coming soon!

    • @leprachaunn
      @leprachaunn Рік тому +1

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

  • @unknowngozi6386
    @unknowngozi6386 4 роки тому +3

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

  • @ARBB1
    @ARBB1 6 років тому +13

    >Linear Algebra
    Is this a warning for a QM series

  • @I-Love-God-Forevermore
    @I-Love-God-Forevermore Рік тому +1

    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

  • @gradientO
    @gradientO 6 років тому +10

    *What about doing **_Fluid Mechanics?_*

  • @조민희-y5q
    @조민희-y5q Рік тому +2

    Thanks for great explanation :)

  • @WolMaror-wi5ly
    @WolMaror-wi5ly Рік тому

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

  • @ProgrammingAndCS-ko1ww
    @ProgrammingAndCS-ko1ww Рік тому +1

    i watch you channel like my fav tv show

  • @tiagotassinari1435
    @tiagotassinari1435 3 роки тому +3

    Thanks so much for the wonderful explanations!!

  • @rahmatrad4599
    @rahmatrad4599 Рік тому

    Thanks for very helpful videos

  • @transfo47
    @transfo47 5 років тому +7

    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?

  • @lovelygracelobedica9036
    @lovelygracelobedica9036 8 місяців тому

    Very informative.

  • @amarjotsingh9676
    @amarjotsingh9676 5 років тому +2

    probably best intro song

  • @vegardliland
    @vegardliland 6 років тому +2

    ty!

  • @mariadle8715
    @mariadle8715 2 роки тому

    Thank you

  • @mustafizurrahman5699
    @mustafizurrahman5699 3 місяці тому

    Mesmerizing

  • @aashsyed1277
    @aashsyed1277 3 роки тому

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

  • @snakeywakey3893
    @snakeywakey3893 3 роки тому

    Very helpful.

  • @andreangasha3677
    @andreangasha3677 2 роки тому

    Amazing!

  • @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.

  • @zaidfanek2610
    @zaidfanek2610 2 роки тому

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

  • @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.

  • @lunurulz
    @lunurulz 4 роки тому

    good stuff

  • @SaleemKhan-nu7mu
    @SaleemKhan-nu7mu 4 роки тому

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

  • @henrykretschmer7711
    @henrykretschmer7711 5 років 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.

  • @20891
    @20891 5 років тому +2

    U can take linear algebra before calculus and do well

  • @danielecarmona
    @danielecarmona 5 років тому +2

    Why last lessons are privat?

  • @jenm1
    @jenm1 8 місяців 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

  • @celsiusfahrenheit1176
    @celsiusfahrenheit1176 2 роки тому

    got it, thx

  • @AkshayaS-p9u
    @AkshayaS-p9u 4 місяці тому

    wait... what are the previous portions of the series ?

    • @sciencedude2355
      @sciencedude2355 3 місяці тому

      Professor dave has a whole math playlist, including basic elementary level math, algebra, calculus, linear algebra, etc.

  • @gradientO
    @gradientO 6 років тому +3

    *_Which software do you use to animate?_*

  • @balakumaran6056
    @balakumaran6056 3 роки тому

    "You are my math god "🙏

  • @dwinapettalolo5296
    @dwinapettalolo5296 4 роки тому

    cool!!

  • @dmwreath
    @dmwreath Рік тому

    man do i love professor dave

  • @ptyptypty3
    @ptyptypty3 5 років тому +5

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

  • @KushG420
    @KushG420 2 роки тому

    very important 10 minutes indeed

  • @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 :((

  • @divyanshupandey1702
    @divyanshupandey1702 6 років тому +2

    Hello 😀

  • @biswambarpanda4468
    @biswambarpanda4468 2 місяці тому

    Long live sir

  • @neurodivergentsophie8411
    @neurodivergentsophie8411 4 роки тому +1

    What's a parameter?

  • @kentjustine5029
    @kentjustine5029 Рік тому +2

    Thank thou math jesus

  • @Laizer3
    @Laizer3 3 місяці тому

    What does it help in real life situation

  • @azadprasad856
    @azadprasad856 6 років тому +3

    great

  • @nemock
    @nemock 20 днів тому

    I haven't had a lot of time to study advanced math and I'm embarrassed to say that I thought linear algebra came before calculus.

    • @ProfessorDaveExplains
      @ProfessorDaveExplains  20 днів тому +1

      well linear algebra doesn't require calculus, so it could, but it's quite hard and abstract so it's always taught after calculus

    • @nemock
      @nemock 20 днів тому

      @@ProfessorDaveExplains That makes sense. Thanks for the clarification.

  • @watchf
    @watchf 3 місяці тому

    Me watching this in while in pre calculus course for no reason

  • @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?

  • @ceoofmemes1967
    @ceoofmemes1967 4 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  4 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 4 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  4 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 4 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 2 роки тому

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

  • @radioboyintj
    @radioboyintj 4 роки тому

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

  • @HeckYeahRyan
    @HeckYeahRyan 2 місяці тому

    cool

  • @aidanepply-schmidt1647
    @aidanepply-schmidt1647 Рік тому

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

  • @veerrajuannamdevula9939
    @veerrajuannamdevula9939 6 років тому +1

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

  • @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!

  • @ankuuchauhan7689
    @ankuuchauhan7689 3 роки тому

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

  • @MichelleKim-p9s
    @MichelleKim-p9s 4 місяці тому

    🥰

  • @storminnorrin6676
    @storminnorrin6676 Рік тому

    5 gallons of milk for $10?!?!

  • @garymichael7937
    @garymichael7937 3 роки тому +2

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

  • @joshuarebello9651
    @joshuarebello9651 2 роки тому

    I love you math Jesus

  • @amarjotsingh9676
    @amarjotsingh9676 5 років тому +1

    why are u talking same thing again

  • @adityagaur1196
    @adityagaur1196 2 роки тому

    Bennettians say oyeah

  • @veerrajuannamdevula9939
    @veerrajuannamdevula9939 6 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  6 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 6 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)?

  • @kj7767
    @kj7767 2 роки тому

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

  • @yuecongl4743
    @yuecongl4743 Рік тому

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

  • @HunterNapier
    @HunterNapier 14 днів тому

    I only wish you didnt have the GOD AWFUL introductions to every video, otherwise they're great

  • @SnehaBhattPhysics
    @SnehaBhattPhysics 6 років тому

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

  • @hassannaeem4034
    @hassannaeem4034 4 роки тому +2

    i hate Mathematics