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

[@patrickjmt]

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!

[@NS_DPNSANIZAHIDAHBINTIMDSIDEK]

how to know the operation.. i mean how do you know when to use the positive n negative sign

[@wekesatonnie9321]

Why does sign in middle changes to -ve in Dy and Dz

[@shiningshivam1386]

Badhiya

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Can u do some more videos about integration, limit and continuity

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ok sure

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Crazy to think people discover these methods!

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Crazy to think people can actually do them

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

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Yaa bro Legendary 🤘

[@annelmoreno6862]

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!

[@javadhikmati4941]

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

[@DinoMoonCreations]

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]

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

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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

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wow! you're probably done with college!

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You save lives with your videos, Patrick !

[@patrickjmt]

Just doing the best I can!

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

[@theoslunds8297]

YES thank you!!!!!

[@christopheralemao4352]

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

[@taninhanutry]

Oh Yes!

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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

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I love 💘 Indians

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

[@giulianavalia5315]

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

[@Ameliyah_Tebz]

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

[@MisterLiBRiUMz]

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

[@souleymanedoumbia2616]

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!

[@RajeevSingh-kq8fl]

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.

[@baman38]

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!

[@AmaanRizwan]

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

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

[@abdullaalshamali3930]

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*

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طيب ي الدافور انا مثلك

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R A N O V A T I O rano انقلع

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shklk 2ordonii

[@Cramerica66]

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.

[@patrickjmt]

glad that you like my explanation!

[@PRAIZEISONGUYO-bs1xp]

Please how come about the zero.

[@AS-ol6os]

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

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patrickJMT u r awesome

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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

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thanks again you are miles better that my university lecturer

[@meridawatson]

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

[@56dragonfly]

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

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

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Why can't you be my university professor?

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[@Brandon-ob9rg]

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

[@miguel119x]

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

[@eyad6159]

It has something to do with the vector product

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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

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Non Existent any news about it? did you pass?

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What happened tho?

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

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mine too :P

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[@patrickjmt]

+Nona Chan you are very welcome!

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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]

Glad I could help :)

[@rajivnarayan4237]

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

[@b0ondockz]

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.

[@sharanv9182]

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

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haha

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Are you like 5 or something

[@cekkie9443]

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

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You are a god

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trju

[@kevinmacharia2376]

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

[@SneakyBrownGuy]

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

[@carterwelsh1065]

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

[@carterwelsh1065]

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

[@SlaYer-um7wb]

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

[@cleomanloloyo1950]

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

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After our studies where should we use this method? 🤔

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Thank you man!

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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!

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Johnny Yuen yes right

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

[@michaeldownton5017]

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

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Legend

[@Farrisspoiler]

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

[@javellealcide942]

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

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Thats the formula dear

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dont give up!

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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!!!!!

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

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

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

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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

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

[@patrickjmt]

yep, the math is still correct :)

[@ndekerekiritu1277]

@@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 :-)

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

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best tutorial ive seen

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

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

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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...

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THANK YOU SO MUCH. I STRUGGLED A LOT WHILE DOING THIS! THIS VIDEO SAVED ME

[@smalth]

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..

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Thanks for the help Patrick, Your explanations are easy to understand and your writing is clear. Chris J.

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With you Math is a piece of cake. Thanks a ton, Patrick! You are the best :D

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wow yay you might just have helped me get one more right answer in my final!!! thank you so much my teacher has explained this so many times and i've gone to tutoring and i haven't understood it till now thank you so much!!!!!!

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Great video Patrick! I love the use of different sheets to make it easier to see the process. Thank you!

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

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This guy is by far one of the best math KZbinrs in History

[@patrickjmt]

thanks!

[@Pavankudarimati]

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😇