Cramer's Rule to Solve a System of 3 Linear Equations - Example 2

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  • เผยแพร่เมื่อ 15 ม.ค. 2025

ความคิดเห็น • 262

  • @weddingbangladesh
    @weddingbangladesh 7 ปีที่แล้ว +10

    Dude i'm watching this from Bangladesh, you are the reason that i'm passing all the math courses in CSE Program.
    You Rock.
    Wish every university had faculty like you.

    • @girohany682
      @girohany682 6 ปีที่แล้ว

      sameee using this video rn to pass CSE program

    • @doreenkennedy8163
      @doreenkennedy8163 4 ปีที่แล้ว

      Yoooo🥵🖐️

  • @OldSteven24
    @OldSteven24 9 ปีที่แล้ว +15

    The whole covering up of the rows and columns with the marker n finger fuckin helped big time. You really are saving lives everyday..

  • @Peter_1986
    @Peter_1986 10 ปีที่แล้ว +58

    Learning Linear Algebra while chilling on TH-cam.
    Life is great sometimes.

  • @patrickjmt
    @patrickjmt  12 ปีที่แล้ว +3

    ah, ok :) thanks for the kind words. glad you like the videos!

  • @angelaflorine8953
    @angelaflorine8953 12 ปีที่แล้ว

    My tuition needs to be sent to you! I learned more from you than my instructor! I couldn't understand anything he said, I came home and found you!! Thanks a bunch!

  • @raniiii3478
    @raniiii3478 2 ปีที่แล้ว +2

    Thank you so much for your explanation

  • @L1zardBoy5
    @L1zardBoy5 11 ปีที่แล้ว +30

    This helped me a lot. I missed this in class and my teacher refused to teach me and i had to figure it out on my own. Thanks.

    • @devraj-mm5jg
      @devraj-mm5jg 7 ปีที่แล้ว +7

      L1zardBoy5 address of your teacher??

  • @khaled1310
    @khaled1310 3 ปีที่แล้ว +4

    So useful explanation I completely understand-ed and I'm so thankful for being so clear and simple and showing all the steps < big love to you Patrick

  • @ScottishGamersHD
    @ScottishGamersHD 12 ปีที่แล้ว +1

    Ah I was thinking more in the sense of you getting what you deserve for doing these, theyre insanely helpful. This one gained me 10 marks in my exam today

  • @N1NO5
    @N1NO5 7 ปีที่แล้ว +1

    Hey Patrick, just wanted to say that your videos are always very helpful. Keep it up !

  • @patrickjmt
    @patrickjmt  14 ปีที่แล้ว

    @TheDuskMar no problemo!

  • @patrickjmt
    @patrickjmt  14 ปีที่แล้ว

    @SkyHeartslash30 my pleasure!

  • @ilyahem24
    @ilyahem24 12 ปีที่แล้ว +1

    thank you so much sir! i finally understood about Cramer's Rule :D
    my friend actually recommended me to watch this video and i'm so thankful to her coz tomorrow we'd be having our Math exam and this is included in our coverage. it's quite easy actually :) i'm finally hopeful that i could pass tomorrow's exam. hahaha~
    thank you once again :)

  • @JohnnyBoi1924
    @JohnnyBoi1924 14 ปีที่แล้ว

    This along with all of your matrix videos could, very well, be saving my grade right now. I have one of two problems: either i can't pay enough attention in class, or my teacher simply cannot teach very effectively.

  • @patrickjmt
    @patrickjmt  12 ปีที่แล้ว +3

    glad i could help :) i hope the exam turned out well.

  • @patrickjmt
    @patrickjmt  12 ปีที่แล้ว

    happy i could help :) spread the word!

  • @wilsonwama4164
    @wilsonwama4164 4 ปีที่แล้ว +1

    Thanks, very helpful.

  • @mashaalleyne
    @mashaalleyne 8 ปีที่แล้ว +2

    Thank you for the step by step explanation...... really helped.

  • @elgunlegro
    @elgunlegro 11 ปีที่แล้ว

    You save my math semester. I thank the world for your knowledge of matrices

  • @maribnsaad
    @maribnsaad 12 ปีที่แล้ว

    zup patrick! have long live in your rule. you help us in our problems in school. thank you very much. it's an astonishing tutorial videos.

  • @giezelmadurar8049
    @giezelmadurar8049 8 ปีที่แล้ว +1

    i love all of your tutorials! it really helped me a lot!

  • @iiThinkEpic
    @iiThinkEpic 12 ปีที่แล้ว +2

    Man, you're my hero! I've been struggling with math for quite a while now and your videos have rally helped make concepts like this so much clearer for me! I appreciate it so much! You're the best!

  • @patrickjmt
    @patrickjmt  14 ปีที่แล้ว

    @sk8teh14 well, i think it has more to do with the tone of your original comment as opposed to anything else

  • @bakagenius
    @bakagenius 12 ปีที่แล้ว

    Very helpful! much easier to understand than in lecture. Thanks for your videos!

  • @kekemamal
    @kekemamal 12 ปีที่แล้ว

    again!!!! u help our life sir!!!!!! so many thanks, god bless you

  • @rfreakingd8992
    @rfreakingd8992 7 ปีที่แล้ว

    After passing my Calculus 1,I am back for my linear Algebra.. Patrick you are best!!!

  • @gamrom01
    @gamrom01 8 ปีที่แล้ว +2

    i'm korean and i watched this video because of my mideterm. And this is really works. Thank you :)

    • @patrickjmt
      @patrickjmt  8 ปีที่แล้ว +8

      glad it helped! tell your friends to come watch too :)

  • @rihanshaikh6436
    @rihanshaikh6436 6 ปีที่แล้ว

    While teaching I was absent in college I learnt from you thanks Patrick sir

  • @KingLauris
    @KingLauris 14 ปีที่แล้ว

    You are a life saver man! Someone should build a statue for you! If not you, I would fail my applied math for social sciences course with my teacher! THANK YOU.

  • @aravindmpv
    @aravindmpv 12 ปีที่แล้ว

    i got my exams ahead.... so important that it decides my future ....... and u saved me
    :D i owe u a lot ....... u genius bro!

  • @patrickjmt
    @patrickjmt  14 ปีที่แล้ว

    @Purplegoddess656 sorry! glad you like my belated explanation though : )

  • @raejohnson2647
    @raejohnson2647 8 ปีที่แล้ว

    You're the best. The local community college Math Success Center recommends you. Thank you! :)

  • @oanjenaldwrel3720
    @oanjenaldwrel3720 6 ปีที่แล้ว

    wow. great, simple, and to the point. love u patrickJMT!!

  • @geetanjalibhatt1863
    @geetanjalibhatt1863 6 ปีที่แล้ว +2

    Very helpful ... Thanku very much sir........ Keep up the good work !!

  • @MrSarimjavaid
    @MrSarimjavaid 8 ปีที่แล้ว +2

    Thank you for all your videos :)

  • @droe1337
    @droe1337 12 ปีที่แล้ว

    Hey Patrick, you are very great :) been subscribed for a couple of years now? yep. Thanks!

  • @whymee123
    @whymee123 11 ปีที่แล้ว

    this is so much simpler than the way I've been trying to do it. thank you for this

  • @patrickjmt
    @patrickjmt  12 ปีที่แล้ว

    thanks for the kind words :)

  • @kaliludibba8087
    @kaliludibba8087 6 ปีที่แล้ว

    I like the way you teach....from Italy.....u are the best!! With you maths is fun

  • @大冰紅去紅
    @大冰紅去紅 3 ปีที่แล้ว +1

    thank you

  • @dumplindee
    @dumplindee 13 ปีที่แล้ว

    thank you so much for sharing :) u make it so much easier to understand than my tutor....God Bless you :)

  • @mdal-amin521
    @mdal-amin521 6 ปีที่แล้ว

    Thank you so much. I am a student from Bangladesh. I got help for my final year Practical exam from you tutorial.

  • @missdezi1994
    @missdezi1994 13 ปีที่แล้ว

    this could not have helped me more! definitely just saved my grade in college algebra :)

  • @rinkutachi
    @rinkutachi 13 ปีที่แล้ว

    you're better than my college instructor :)

  • @greatgodKT
    @greatgodKT 10 ปีที่แล้ว

    it took a while to solve everything, but you made it easier to understand.

  • @Akerman96
    @Akerman96 12 ปีที่แล้ว

    That was unbelievably helpful. much thanks

  • @jacobtylerwhitemusic
    @jacobtylerwhitemusic 13 ปีที่แล้ว

    Thanks dude, I didn't write down my notes for college lol, but this was pretty easy thanks!

  • @Quichey2
    @Quichey2 14 ปีที่แล้ว

    Awesome! I forgot how to use this, so thanks for the refresher!

  • @zuhaib_meo_rajput
    @zuhaib_meo_rajput 5 ปีที่แล้ว

    Thanx for this job, I have learnt many things about Mathematics from U and I hope U will continue to serve us and also teach us new things daily.

  • @patrickjmt
    @patrickjmt  12 ปีที่แล้ว +1

    yes, many ways to do it

  • @patrickjmt
    @patrickjmt  13 ปีที่แล้ว

    @beanbagproductions if you are in london, you will have to buy me a beer first

  • @bensondo6165
    @bensondo6165 10 ปีที่แล้ว

    thank you patrick so dam much, you just saved my life

  • @ABCMathematics
    @ABCMathematics 13 ปีที่แล้ว

    Hey! AMAZING VIDEO! love it... just about to start a matrix algebra module in September.... Is there a video on the other way to solve a system of equations with 3unknowns... using inverse.
    :)

  • @JimTheEliminator
    @JimTheEliminator 13 ปีที่แล้ว

    This is great. I just wish you would have more videos on linear algebra, such as on linear independence, linear transformations, basis and change of basis, eigenvalues, and eigenvectors.

  • @amanbajwa5327
    @amanbajwa5327 3 ปีที่แล้ว +1

    Thnk u

  • @ziakhann4627
    @ziakhann4627 8 ปีที่แล้ว +2

    thanks alot bro ,, it helped me alot

  • @patrickjmt
    @patrickjmt  14 ปีที่แล้ว

    @onlnr thanks!

  • @S3cretSpartan
    @S3cretSpartan 12 ปีที่แล้ว

    Yeah my math teacher doesn't really teach he just corrects you. I don't really participate much in class since I usually get everything on the first try but I fell asleep in class a week ago and didn't catch anything to do with this. I already knew how to get the determinant by expansion of minors or with diagonals though. So it wasn't any trouble to understand anything. Thanks.

  • @josephcario1065
    @josephcario1065 8 ปีที่แล้ว

    hi MR.PATRICK i'm your fan.tnx for ur videos i'm using of all these in my class.hope to see more

  • @oftones
    @oftones 7 ปีที่แล้ว

    helped me out alot. Thank you!!

  • @agnessmwila2480
    @agnessmwila2480 2 ปีที่แล้ว

    Wow this has really helped me alot for my math exam..

  • @NewYawkah18
    @NewYawkah18 11 ปีที่แล้ว +1

    crystal clear like usual. Thank you :)

  • @TheDuck140
    @TheDuck140 7 ปีที่แล้ว

    Very good video, very Informative. Thank You sir.

  • @patrickjmt
    @patrickjmt  13 ปีที่แล้ว

    @Cruth8987 never heard of it, looks interesting though!

  • @bingavtoski
    @bingavtoski 14 ปีที่แล้ว

    This is very interesting. Thanks for sharing.

  • @Purplegoddess777
    @Purplegoddess777 14 ปีที่แล้ว

    Aww :( I wish you had this uploaded when I was doing this in class... you explain it so well.

    • @doreenkennedy8163
      @doreenkennedy8163 4 ปีที่แล้ว

      Hey I know I'm late buh I like you🥵😍😛

  • @Luckysanji245
    @Luckysanji245 2 ปีที่แล้ว +2

    Legend is watching after 11years😂😂

  • @sepia2008
    @sepia2008 14 ปีที่แล้ว

    cool video just like all of your videos very helpful thanks ^^

  • @Dagvm17
    @Dagvm17 11 ปีที่แล้ว

    Hey man! thx for the help on Cramers rule!

  • @ScottishGamersHD
    @ScottishGamersHD 12 ปีที่แล้ว

    You should apply for a partnership, and thanks man, you basically saved my ass in my exam

  • @mnml_clo
    @mnml_clo 5 ปีที่แล้ว

    Very helpful
    Thankyou so much ❤️

  • @cyberjoe2007
    @cyberjoe2007 12 ปีที่แล้ว

    So it looks like to me that when you mult. the bottom left # to the top right #. You are changing the value. Like there is a -1 in between them. What is the rule on that? Please reply.

  • @sakimikajima6682
    @sakimikajima6682 11 ปีที่แล้ว +3

    His answer in finding the last expantion in determinant is not wrong.. to expand more his solution it was written as this 1[2(-2) - (-1)1] and negative times negative is positive so thats why the answer is 1(-4+1)

  • @onlnr
    @onlnr 14 ปีที่แล้ว

    well done, I love your videos.

  • @la_ghivver8139
    @la_ghivver8139 11 ปีที่แล้ว

    this is so great i understand it better. thanks, merci

  • @lailakhan6534
    @lailakhan6534 6 ปีที่แล้ว

    Thank u soooo much 4 this type videos

  • @azposeydon93
    @azposeydon93 11 ปีที่แล้ว

    Which accent do you speak Patrick?

  • @zinsinag7497
    @zinsinag7497 6 ปีที่แล้ว

    Thank u sir....
    It really helped me a lot...

  • @bilalon
    @bilalon 10 ปีที่แล้ว

    Great explanation man thank you so much

  • @jowmomoa
    @jowmomoa 5 ปีที่แล้ว

    Thanks..this helped me so much !

  • @joasten
    @joasten 13 ปีที่แล้ว

    Hmmm, it's quite interesting how 9 minutes of TH-cam replaces my 2 hours of studying.

  • @germandrummer13
    @germandrummer13 11 ปีที่แล้ว

    Wow this is so much easier than I thought.

  • @dikshashil7240
    @dikshashil7240 7 ปีที่แล้ว +2

    Thanku... It hlped me alot

  • @patrickjmt
    @patrickjmt  14 ปีที่แล้ว

    @IronChefWannabe loooooool, i was thinking the same thing

  • @Matanimal
    @Matanimal 11 ปีที่แล้ว

    wow, amazing. i know where to come back when my stupid math teacher does NOT teach.

  • @tajulislam5624
    @tajulislam5624 9 ปีที่แล้ว +10

    what to do if the D=0 ?????

    • @georgelopez344
      @georgelopez344 8 ปีที่แล้ว +3

      little late but if it's a 0 the rule doesn't apply

    • @tajulislam5624
      @tajulislam5624 8 ปีที่แล้ว +7

      lol...semester ended...i find that the rule don't work in that case..thanks...

    • @aadilali8488
      @aadilali8488 6 ปีที่แล้ว

      Tajul Islam if d=0the lines are concurrent

    • @Prajwal____
      @Prajwal____ 5 ปีที่แล้ว

      @@tajulislam5624 which work are u doing now?...

  • @aryamaan4946
    @aryamaan4946 6 ปีที่แล้ว

    Thanku dear solve my problems for my exam. Thank you so much

  • @mohammedattal8887
    @mohammedattal8887 4 ปีที่แล้ว +1

    there is a much simpler way to getting the determinant jesus

  • @samsonexe2088
    @samsonexe2088 13 ปีที่แล้ว

    Thank you very much !!! ~Patrick!!

  • @mairalm407
    @mairalm407 11 ปีที่แล้ว

    You are so helpful thank you so much!

  • @HelloWorldOfficial
    @HelloWorldOfficial 11 ปีที่แล้ว

    can i also used this method if a am solving 5 unknowns with 5 equations?
    thanks.

  • @MagicianMarcus
    @MagicianMarcus 14 ปีที่แล้ว

    Thanks, if you get a chance, can you explain how to solve literal equations, and formulas?

  • @pallawikumari4556
    @pallawikumari4556 5 ปีที่แล้ว +3

    thank u so much tomorrow is my exam plzzz blesse me for my exam

  • @munyaradzigeorgemunjokodi7481
    @munyaradzigeorgemunjokodi7481 ปีที่แล้ว

    This is more understandable sir , thank you

  • @patrickjmt
    @patrickjmt  14 ปีที่แล้ว

    @Tinnguyen123 more like: so wonderful

  • @khawarashfaq7503
    @khawarashfaq7503 8 ปีที่แล้ว

    thanks ,great video ,much appreciated

  • @MoeInL
    @MoeInL 5 ปีที่แล้ว

    does the determinant need to be different than 0 so we can be able to use cramer's rule?

  • @veronicamusondasikanyeu7766
    @veronicamusondasikanyeu7766 8 ปีที่แล้ว

    very well explained.thanks alot.

  • @Cruth8987
    @Cruth8987 13 ปีที่แล้ว

    you should make a kickstarter project.. im sure your hundreds of videos would be a good basis!

  • @SeriousHealing
    @SeriousHealing 12 ปีที่แล้ว

    This guy is killer! Thank you for these videos.