Cramer's Rule to Solve a System of 3 Linear Equations - Example 1

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  • เผยแพร่เมื่อ 6 ก.ย. 2024
  • Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! Example 2 • Cramer's Rule to Solve...
    Cramer's Rule to Solve a System of 3 Linear Equations - Example 1

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  • @patrickjmt
    @patrickjmt  5 ปีที่แล้ว +116

    Hi all! Please post comments, questions and anything else on your mind in the comment section! While I try to answer as many questions as I can, there are more questions than I can answer by myself so if you are someone who might be able to help, please do so! The community is so much better when everyone is involved and helping each other out. Our strength is our willingness to help each other!
    Also please feel free to like or dislike the video. Your feedback is always appreciated so that hopefully I can make my future videos the best possible! Thanks and happy studies!

  • @nathanherbertson8987
    @nathanherbertson8987 8 ปีที่แล้ว +648

    Crazy to think people discover these methods!

    • @sadianadeem4223
      @sadianadeem4223 6 ปีที่แล้ว +8

      Nathan Herbertson yeah
      How can they do this😵😵

    • @serajsersawi5786
      @serajsersawi5786 6 ปีที่แล้ว +6

      baldy hardnut exactly, good that you practice that, keep it up!

    • @bernieberry1689
      @bernieberry1689 5 ปีที่แล้ว +16

      Crazy to think people can actually do them

    • @quleughy
      @quleughy 5 ปีที่แล้ว +4

      Sadia Nadeem I like to believe that all the great mathematicians were really just OCD but only in regards to math.

    • @offridevlogger7581
      @offridevlogger7581 4 ปีที่แล้ว

      Yaa bro Legendary 🤘

  • @javadhikmati4941
    @javadhikmati4941 10 ปีที่แล้ว +378

    If the worst student had Patrick as their teacher they would probably got an A+ in exam. Well done boy!

  • @annelmoreno6862
    @annelmoreno6862 7 ปีที่แล้ว +15

    Patrick, I honestly cannot thank you enough! I was crying in my college bathroom stall because I sat through a math lecture not understanding a single thing about Cramer's Rule and you literally saved my life. I appreciate all of the time and effort you put into these videos. They really do help A TON. Thanks again!

  • @LuisKing150
    @LuisKing150 9 ปีที่แล้ว +223

    if you were to teach at my university i would have major in math without a doubt been watching your vids ever since i was a sophomore in high school now I'm a junior in college :D

    • @informativecontent4778
      @informativecontent4778 6 ปีที่แล้ว +4

      lolx i wish i found out about his vids earlier i would hv got good grades in maths

    • @zurzakne-etra7069
      @zurzakne-etra7069 3 ปีที่แล้ว +4

      wow! you're probably done with college!

  • @DinoMoonCreations
    @DinoMoonCreations 7 ปีที่แล้ว +101

    Hey hey. I skipped litterly every lesson of vector and matrix math. So I try to figure everything out by myself in just 2 days. 7 years ago you made this. I dont know who you are. I dont know where you are. But the day that you decided to make this... was my the day you saved my life this day. I have a lot of papers with explaining of this. But this simple video was enough to finally let me understand it. I never thought it was this simple. THANK YOU RANDOM STRANGER!

    • @paids3764
      @paids3764 5 ปีที่แล้ว +1

      He's saved many people, and helped me a ton as well. hats off.

  • @taninhanutry
    @taninhanutry 9 ปีที่แล้ว +326

    You save lives with your videos, Patrick !

    • @patrickjmt
      @patrickjmt  9 ปีที่แล้ว +56

      Just doing the best I can!

    • @TheSpartaMaMa
      @TheSpartaMaMa 9 ปีที่แล้ว +6

      +patrickJMT yesss she is right.
      thanks man, nice writting btw XD

    • @theoslunds8297
      @theoslunds8297 7 ปีที่แล้ว

      YES thank you!!!!!

    • @christopheralemao4352
      @christopheralemao4352 7 ปีที่แล้ว +6

      tania posted this comment a year ago...is she still doing math ?! :O

    • @taninhanutry
      @taninhanutry 7 ปีที่แล้ว +9

      Oh Yes!

  • @ferdusalamfahad8348
    @ferdusalamfahad8348 5 ปีที่แล้ว +19

    I have become a big fan. Your teaching style is so cool.
    Love from Bangladesh ❤❤❤

  • @upasnasharma1873
    @upasnasharma1873 4 ปีที่แล้ว +5

    I am an Indian and I usually watch only Indian tutors as I find them much more efficient and effective. I never trusted Foreign teachers as I found them beating about a bush. But ur a game changer man. Totally loved it

    • @omoladetemitope16
      @omoladetemitope16 2 ปีที่แล้ว +1

      I love 💘 Indians

    • @omoladetemitope16
      @omoladetemitope16 2 ปีที่แล้ว +1

      Me too i love 💘 ❤ 💗 💕 ♥ 💖 Indians wòooooo

  • @giulianavalia5315
    @giulianavalia5315 8 ปีที่แล้ว +14

    My teacher doesn't explain things well, but you do! You have saved my life, sanity, and grades :)

  • @jmsolangi
    @jmsolangi 3 ปีที่แล้ว

    A uni student here....u have been my teacher crush since day 1 when I started watching ur vids... Here i said it... And whenever I try to teach, I have ur teaching methods and ways in my head... There should be a nobel prize for teachers or just give them quota in peace prize...they are life savers...saviors

  • @RajeevSingh-kq8fl
    @RajeevSingh-kq8fl 3 ปีที่แล้ว +3

    This question can take a little portion of one question in IIT JEE exam of India, and still we have to solve the whole question in less than 1 minutes.
    Great explanation.

  • @MandhanAcademy
    @MandhanAcademy 8 ปีที่แล้ว +51

    patrickJMT u r awesome

  • @baman38
    @baman38 10 ปีที่แล้ว +1

    Oh my gosh you just made this 50x easier than my teacher did in my 4 hour class. Watching this for 10 minutes will make me pass this class! Thanks a TON!

  • @Brandon-ob9rg
    @Brandon-ob9rg 10 ปีที่แล้ว +13

    Why does the order go + - +? What if the coeffient was a negative? Would you use a + instead of a -?

    • @miguelalbertooxa8699
      @miguelalbertooxa8699 5 ปีที่แล้ว +4

      Just add the " ( negative number) " by the way I know I'm late but just in case someone

    • @eyad6159
      @eyad6159 5 ปีที่แล้ว

      It has something to do with the vector product

  • @MisterLiBRiUMz
    @MisterLiBRiUMz 11 ปีที่แล้ว +4

    You my friend are getting me through 1st Year Uni Linear Algebra. Thank you for the videos, literally saving my life!

  • @AmaanRizwan
    @AmaanRizwan 8 ปีที่แล้ว +5

    Back from the semester exam, did this question so freaking right, all thanks to you. Thanks a million, Patrik !

  • @abdullaalshamali3930
    @abdullaalshamali3930 10 ปีที่แล้ว +21

    i love you man
    i have been watching ur videos for 4 years now and you never let me down !
    keep it up bro and you will make a better mathematic generation !
    *thumps up*

  • @annuthapa5372
    @annuthapa5372 10 ปีที่แล้ว +4

    You are just awesome. The way you explain, ur voice, and ur hand writing.

  • @Ameliyah_Tebz
    @Ameliyah_Tebz 2 ปีที่แล้ว

    i have been struggling with cramer's rule for days, wow !i can't believe that i am able to understand from a 10 mins video and i couldn't hear anything from my 2 hours class, Your explaination is so easy and straightforward , Thank you

  • @MGNFilms
    @MGNFilms 10 ปีที่แล้ว +89

    Why can't you be my university professor?

  • @TheGainfulGamer
    @TheGainfulGamer 8 ปีที่แล้ว +2

    Thanks so much for the video! Helped explain this a lot. My only question is, why use Cramer's Rule if it takes so long to determine x,y, and z? Surely, the other methods are far more practical.

  • @MrJefferson105
    @MrJefferson105 9 ปีที่แล้ว +6

    thanks again you are miles better that my university lecturer

  • @souleymanedoumbia2616
    @souleymanedoumbia2616 6 ปีที่แล้ว +1

    Now, I got my answer. Thank you so much! It s been a while now, I read and read and read again my class note on Cramer s rule, and I was not able to understand but after yours example with a 3x3 matrices (3variables), everything was going easily in my mind. Now, I m ready, for any nxn (n unknown variable) matrices, to solve. God bless you!

  • @56dragonfly
    @56dragonfly 5 ปีที่แล้ว +4

    simplified such an otherwise rather difficult concept to get your head around, thank you!

  • @marilynand2
    @marilynand2 11 ปีที่แล้ว +1

    I agree with Anthony S... Your explanation is thorough and easy to understand. Thank you so much for sharing your talent/ gift!

  • @patrickjmt
    @patrickjmt  11 ปีที่แล้ว +6

    glad that you like my explanation!

  • @nepistic__1118
    @nepistic__1118 3 ปีที่แล้ว +2

    Wowww😆...I was really pissed after not knowing it thanks 😊❤️

  • @ReinForceMent7
    @ReinForceMent7 7 ปีที่แล้ว +11

    thanks bro. youtube is my teacher 😂

  • @AS-ol6os
    @AS-ol6os 11 ปีที่แล้ว

    Just one more thank you to add to the list. Ive searched several other sites trying to find this answer and no one explained how to do cramers method as thoroughly as this

  • @sharanv9182
    @sharanv9182 10 ปีที่แล้ว +17

    damn awesome thanks man...but i cant stop laughing on 8:29 with the subtitles on

  • @SOUbest2
    @SOUbest2 9 ปีที่แล้ว

    you are better than any one.... if anyone get your tuition then anyone can get 100% marks.... I just love your teaching....

  • @orionthehunter6428
    @orionthehunter6428 8 ปีที่แล้ว +5

    I love your videos, everything is so clear and simple when you explain it, it really helps a lot. Keep up!

  • @cekkie9443
    @cekkie9443 5 ปีที่แล้ว +1

    Your example is much better than my text book's and lecturers'... thanks for help dude

  • @pwrlift
    @pwrlift 9 ปีที่แล้ว +10

    i hav math test in exactly3 hrs from now and i havent study anything. im retaking paper (bcs im stupid enuf to fail) and i hope this will save me lol thanks youre my lifesaver

  • @pauladcl
    @pauladcl 6 ปีที่แล้ว

    Thank you! I skipped my Math class due to health issues, now I’m getting ready for a quiz tomorrow by watching your videos. Kudos Mr!

  • @xenachan3479
    @xenachan3479 8 ปีที่แล้ว +38

    thank u 😭

    • @patrickjmt
      @patrickjmt  8 ปีที่แล้ว +13

      +Nona Chan you are very welcome!

    • @kartikeyyyy
      @kartikeyyyy 6 ปีที่แล้ว +3

      Xena 😍😍

    • @gomasimkhada6743
      @gomasimkhada6743 4 ปีที่แล้ว +2

      @@kartikeyyyy 😂😂

  • @StarfieldRailway
    @StarfieldRailway 11 ปีที่แล้ว

    Whenever I look up a mathematical principle on TH-cam, PatrickJMT is the first user name I look for.

  • @javellealcide942
    @javellealcide942 5 ปีที่แล้ว +3

    I know i am 9 years ate...but why did you put a negative (-) before the 0 when expressing the determinant

  • @anasaksooka
    @anasaksooka 12 ปีที่แล้ว +1

    I was travelling away from my Country and been missing all my Math lectures but thanks to you I understood all what I have missed mate... you really make me consider just studying anything from just your videos :D

  • @abinayamirra7779
    @abinayamirra7779 5 ปีที่แล้ว +3

    After our studies where should we use this method? 🤔

  • @b0ondockz
    @b0ondockz 12 ปีที่แล้ว

    I'd be so screwed if these videos weren't available. I learn more in a 10 minute video nugget from you then I do in an hour and a half lecture on the same topic at my university. Thanks for making these videos clear and concise, and for your hard work. I hope they stay free.

  • @SneakyBrownGuy
    @SneakyBrownGuy 9 ปีที่แล้ว +11

    At 1:57 why did you get -8? Shouldn't it be 4 multiplied by 2 so positive 8?

    • @carterwelsh1065
      @carterwelsh1065 9 ปีที่แล้ว

      SneakyBrownGuy the way to calculate it is: ((-3x0)-(4x2)) which = -8

    • @carterwelsh1065
      @carterwelsh1065 9 ปีที่แล้ว +3

      Carter Welsh there should be a "-" sign between the (3x0) and the (4x2).. stupid google

    • @SlaYer-um7wb
      @SlaYer-um7wb 5 ปีที่แล้ว

      it is because |a b|= ad-bc
      |c d|

  • @oz6763
    @oz6763 6 ปีที่แล้ว

    i cannot fathom how much better you are than professors out there who get paid much more

  • @rajivnarayan4237
    @rajivnarayan4237 7 ปีที่แล้ว +3

    Man Cramer saved the lives of people who need to computate imaginary numbers in matrix form

  • @Pray4one
    @Pray4one 9 ปีที่แล้ว

    Dude you're a freaking boss man...I wouldn't know what to do without your videos!

  • @RavensPistonsLions98
    @RavensPistonsLions98 10 ปีที่แล้ว +24

    You are a god

  • @cleomanloloyo1950
    @cleomanloloyo1950 8 ปีที่แล้ว

    people are always gonna look at this video over and over again for help. Thank you so much :-)

  • @xsith92x
    @xsith92x 10 ปีที่แล้ว +4

    Thank you man!

  • @kevinmacharia2376
    @kevinmacharia2376 5 ปีที่แล้ว

    Thanks Pat .....I really can't imagine i could ever understand this Rule and in only 10 minutes things have changed ....

  • @Dhreexlexic
    @Dhreexlexic 7 ปีที่แล้ว +4

    Legend

  • @meridawatson
    @meridawatson 6 ปีที่แล้ว +1

    YOU EXPLAINED THIS SO EFFORTLESSLY AAAAH!
    I have been trying to understand this for days! THANK YOU SO MUCH!

  • @drop0bases884
    @drop0bases884 4 ปีที่แล้ว +5

    🥺🥺🥺🥺🥺I still don't get it I wont play football bc I faild this class
    Give me a 👍up for hope bc I need it for the test

  • @Cramerica66
    @Cramerica66 12 ปีที่แล้ว

    I really appreciate it when people like yourself make these videos to help us out. Not only on math but on other subjects and areas that often require some more explanation outside of the classroom.

  • @WeberJohnny
    @WeberJohnny 10 ปีที่แล้ว +39

    I always believe left-handed have better mathematics skill

    • @azeemkhan123
      @azeemkhan123 6 ปีที่แล้ว

      Johnny Yuen yes right

    • @siddharthpatil6358
      @siddharthpatil6358 5 ปีที่แล้ว +4

      Nope, u come to india u will come to know what is real mathematics

  • @amandaszampias5006
    @amandaszampias5006 6 ปีที่แล้ว

    I got my math minor. Have to say thanks to PatrickJMT for his videos helping me from senior HS courses to senior college courses.

  • @ndekerekiritu1277
    @ndekerekiritu1277 4 ปีที่แล้ว

    Wow. The video was uploaded in 2010 and 9 years later, its still super-useful! Hats-off,,,

    • @patrickjmt
      @patrickjmt  4 ปีที่แล้ว +1

      yep, the math is still correct :)

    • @ndekerekiritu1277
      @ndekerekiritu1277 4 ปีที่แล้ว

      @@patrickjmt Thanks for replying. I feel special... Anyways, I have this cat on Friday (Linear algebra). Hopefully, i'll apply what I learnt from this video :-)

  • @donsaviophilip
    @donsaviophilip 6 ปีที่แล้ว

    I thought it was my greatest mistake of bunking the classes.......Now I am so confident to do so cause now I know I've got a better teacher!

  • @knoz35
    @knoz35 8 ปีที่แล้ว

    Patrickkkkkkk, i passed my exam with very high scores. God bless you :)

  • @maalindiyasara6838
    @maalindiyasara6838 2 ปีที่แล้ว +1

    Great explanation.from sri lanka🇱🇰❤

  • @soxredsox
    @soxredsox 11 ปีที่แล้ว

    i have an Asian professor with the thickest accent you will ever hear in your life and on top of that hes really smart and doest teach in a simple way to get his point across in a way students will learn. I had absolutely no idea wtf was going on in class (btw its def eq and linear alegra) and my test is in two days. now i feel like i have a fighting chance on that test. I could literally kiss you. Thank you so much!!!!!

  • @Farrisspoiler
    @Farrisspoiler 11 ปีที่แล้ว

    Totally Respect for this user ! he save my life ! because tommarow is my exam ! .And i want to lean cramers RUle ! :) Respect !

  • @connorharrington5414
    @connorharrington5414 12 ปีที่แล้ว

    My lecturer literally confused me, after watching this it makes so much more sense!
    thank you so much! keep up the good work!

  • @zubeirje
    @zubeirje ปีที่แล้ว

    Thanks so much! I’m taking Linear Algebra online and the textbook doesn’t explain things too well. Your videos are goated

  • @catherine_chipa
    @catherine_chipa 3 ปีที่แล้ว

    Ohhhhh wowwww.. my inclass test is within an hour and wow did you save my life. Thankkkk youuuu

  • @NandomGirl
    @NandomGirl 7 ปีที่แล้ว +1

    thank you. so much. my teacher didn't even teach this rule and said "we aren't going to do this" but nope it's on my final review sheet...

  • @seewababy786
    @seewababy786 6 ปีที่แล้ว

    Patrick is freaking awesome. I've been teaching myself my entire semester of math for the final bc my teacher wasn't very good, and he's helped SO MUCH.

    • @patrickjmt
      @patrickjmt  6 ปีที่แล้ว

      Glad I could help :)

  • @Wheepupsdimple
    @Wheepupsdimple 10 ปีที่แล้ว +1

    thank you so much! major quiz tomorrow and I learned more from this video than from my college prof! THANK YOUUU

  • @comps_52_mankritsingh84
    @comps_52_mankritsingh84 6 ปีที่แล้ว +1

    Wonderful explanation

  • @margaritajunio5301
    @margaritajunio5301 9 ปีที่แล้ว

    been watching your videos for several months. direct to the point explanations, love it.

  • @nkamsehsomebodyvincentbons6762
    @nkamsehsomebodyvincentbons6762 ปีที่แล้ว

    OMG THIS REALLY HELP ME IN MY LAST TEST IN SYSTEMS OF LINEAR EQUATION AT THE MATH TEST CENTER THANKS

  • @Mr_Archer15
    @Mr_Archer15 5 ปีที่แล้ว

    I want you to know that I love you bro, you helped me ace calc 2 after having to retake it and now your helping me with some more upper division. You're the real mvp :')

  • @smalth
    @smalth 11 ปีที่แล้ว

    wow! my teacher only taught us the long method, this will be very helpful for our upcoming Final Exam. btw im 1st yr Civil Engineering student.,, thanks & Godbless..

  • @hamonyqueso699
    @hamonyqueso699 9 ปีที่แล้ว

    Got a test tomorrow on this and i literally was zoned out the entire topic lol this helped alot thanks! :)

  • @mayastaton9816
    @mayastaton9816 6 ปีที่แล้ว

    crash studying for my midterm and this just saved my grade. Thanks so much!!!!!!

  • @DbzFighter02
    @DbzFighter02 12 ปีที่แล้ว

    I'm a civil engineering student and I find this awesome! You rock Patrick!

  • @titeenum
    @titeenum 11 ปีที่แล้ว

    U r the best ..
    Thax man ..
    I have a fainal exam tomorrow ..
    N' i didn't understand this rule .. Untel now ..
    Thax again .. :)

  • @michaeldownton5017
    @michaeldownton5017 9 ปีที่แล้ว

    Oh my gosh. you made this so much easier for me. The notes online made by my teacher are just not even close to what you did. Thank you so much

  • @AmaanRizwan
    @AmaanRizwan 8 ปีที่แล้ว

    Thanks a million. You taught with simplicity. Having end semester exam the day after tomorrow. Surely going to do this kind of question right.

  • @immahkathule6972
    @immahkathule6972 3 ปีที่แล้ว

    Wow🤗I wish you could be my lecturer .You are the best .I can proudly use cramer's rule to solve system of linear equations. Much love all the way from Kenya

  • @7arbif15
    @7arbif15 7 ปีที่แล้ว +1

    Hey Patrick, god bless you , thank you from my heart.
    Love U from Saudi Arabia 🇸🇦💚

  • @SOUbest2
    @SOUbest2 9 ปีที่แล้ว

    you are just awesome....
    hats off to you man..... just teach us like that.... We are following you.... you are a great teacher....

  • @soad2609
    @soad2609 3 ปีที่แล้ว

    Holy Moly! This method is literally a chic. Glad I didn't pay attention to the class and ended up here. Thanks a lot, man for the easy explanation.

    • @patrickjmt
      @patrickjmt  3 ปีที่แล้ว +1

      You're very welcome!

  • @petaiacoka2485
    @petaiacoka2485 4 ปีที่แล้ว

    This guy is by far one of the best math TH-camrs in History

  • @danny1044xbox
    @danny1044xbox 10 ปีที่แล้ว

    Good tutorial man. You are a good teacher, make things seem way easier which stops many students panicking before an exam. I am thinking about starting Maths tutorials too. Thanks.

  • @prakshep-lifeisawesome3828
    @prakshep-lifeisawesome3828 5 ปีที่แล้ว +2

    Thanks you very much. Just helped me in an emergency and I totally thank you for it.

  • @HaseebZamanKhan
    @HaseebZamanKhan 13 ปีที่แล้ว

    sir you are awesome. literally i was going through some books but didnt get it. and u made my life easier in only 10 mins. Many thanks

  • @Pavankudarimati
    @Pavankudarimati 4 ปีที่แล้ว

    Thank u bro, for giving me info, tomorrow was my exam, and I was tensed about crammers rule, now by ur information, I understood perfectly, thanks again😇

  • @NabeelAhmed-ln3fw
    @NabeelAhmed-ln3fw 8 ปีที่แล้ว

    just learned Cramers rule from you which I missed in class. Thanks.

  • @aashisingh923
    @aashisingh923 5 ปีที่แล้ว +1

    Plzzz come mah country and gimme tutions😂cuz u r the best maths teacher i've ever seen...btw ur vdos are damn good....i luved the way u xplained the concept

  • @felixmosigisi2991
    @felixmosigisi2991 8 ปีที่แล้ว

    I had some exam today and this greatly assisted me...thank you

  • @patrickjmt
    @patrickjmt  12 ปีที่แล้ว +1

    @colefae glad i could help :) come back any time!

  • @chemistrykicksass
    @chemistrykicksass 11 ปีที่แล้ว

    And once again you helped me to understand the way of solving this problem. Time for some donation!

  • @sgarcia8337
    @sgarcia8337 8 ปีที่แล้ว +2

    Thanks for helping me with ODE.. You are super kind and cool for all these amazing videos..

  • @dylanblack8487
    @dylanblack8487 5 ปีที่แล้ว

    Schools and universities may soon be extinct thanks to vids like this where you can slow things down and learn at your own pace, I am60 and so envious of young people who have all these tools at their fingertips to help them learn, unfortunately many of them don’t want to learn, all they are interested in is playing computer games.

  • @millerzhang6871
    @millerzhang6871 10 ปีที่แล้ว

    you are so amazing really!! i didnt understand single thing my professor taught in classes. after i watched your videos i feel so confident. midterm is in 2 hr, wish me luck:)

  • @sevdas3787
    @sevdas3787 9 ปีที่แล้ว

    You are the best teacher I have ever seen, thanks for all videos !

  • @ADTroyDepp
    @ADTroyDepp 12 ปีที่แล้ว

    @TheBluelawls it's x y z, when theres no y you put 0, when theres no z you also pit 0 and so on

  • @BMWCommenTary
    @BMWCommenTary 6 ปีที่แล้ว

    "Which is gonna give us aaa valuueeeee offff..... -13." Got a lil tripped up there bud? Lol just teasin, honestly thank you for all the hard work you put in to help make math easier for all of us.

  • @njfife14
    @njfife14 13 ปีที่แล้ว

    @mammutdk1
    no, that is part of the determinant. He did 2 * 0 = 0 - (1 * -3) so it ends up being minus, minus 3 which is just 3