Cramer's Rule Solving 3x3 Linear Equations on Casio fx-991ES Scientific Calculator + Shortcut Trick!

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Hi,I'm Sujoy and today I'll tell you how to solve a 3x3 system of linear equations by Cramer's Rule very easily.
Topics explained-
1. Understanding Coefficients of linear equations
2. Standard Linear Form of writing equations
3. Standard Matrix Form of writing equations
4. Solution by Cramer's Rule
5. How to get into matrix mode of Casio fx-991ES Scientific Calculator
6. How to enter matrices in Casio fx-991ES Scientific Calculator
7. How to store 4 matrices on Casio fx-991ES Scientific Calculator (MATAns)
8. How to find determinant of matrix on Casio fx-991ES Scientific Calculator
9. How to divide determinants on Casio fx-991ES Scientific Calculator
10. Solving 3x3 Linear Equations directly in Equation Solver Mode (EQN mode) of Casio fx-991ES Scientific Calculator
That's it for now! How is the video? Let me know.
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[@infiknight8698]

I struggled so much with this but you made it so easy. Thank you

[@princekokuselasiagble7079]

Even though I already know how to solve a 3*3 linear equation, I can now confirm my answers using the calc. through this awesome video you made so well done and thank you, keep it up.

[@federicoamato7309]

Hello! Is there a way to compute a LS on the calculator when the determinant is 0 ? I usually solve LS on the calculator using Cramer Theorem (x= A inverse *y ) however I do not know hot to solve it on the calculator when (a) the matrix is not square (b) the determinant is 0 [I know how to do it without the calculator, but i was interested in understanding if there was a way to do it with the calculator) thank you!

[@dimakris27]

Good job man. Very helpful.

[@abdulrabtalpur]

Great video dear thank you so much, much need one...

[@AbdulKhan-kq2wv]

Awesome Work. Thanks

[@MrTurky11111]

You don't know how much your video helps me ... thank you very much

[@sujoy70]

+ROWSHEN TURKY It's my pleasure! Comments from viewers like you really motivates me! Watch my other videos here- goo.gl/uiTDQS and give your valuable comments. Subscribe to my KZbin channel so that when I upload a new video,you get notified. If you like any of my videos,I'd request you to please like & share it. Because sharing is caring :-)

[@aishasiddika664]

Tq soo much u helped me lot Keep doing it And help us🤘

[@Talal_alrowaie]

broo tomorrow is my exam a found your video in the last moment you don't know how much you help me thank you 💙💙💙💙💙

[@ditolakl1077]

Thank you wise man

[@Ideapee]

Thank you very much. You make me tension free now.❤

[@Ideapee]

Now its time to subscribe your channel❤

[@nageshodedra5367]

Thank you very much in ET iam solving equations without calculator bcoz i don't know how to solve this in calc.when i was solving equ my own i always getting wrong answer but now with calc i will get answer right.ET is very tough at IIT first year but you make it essy

[@sujoy70]

Thanks Dear! Don't forget to subscribe!

[@UTubeGuru]

its very helpful to me

[@chipilikafwilo9480]

Thanks Sujoy

[@sonijaiswal12]

nice explanations....

[@dineshsonewad8389]

Sir very nice, thanks

[@sagarreddyv2508]

Tq bro you helped me a lot

[@prathameshnerkar6014]

thanks. .it is very useful...of all engineering students.. thanks alot

[@sujoy70]

+Prathamesh Nerkar Thanks! Subscribe to my KZbin channel so that when I upload a new video, you get notified. If you like any of my videos, request you to please like & share it. Because sharing is caring :-)

[@MahadiHasanMeem]

Thanks bro! Helped a lot!!! (y)

[@sujoy70]

***** It's my pleasure! Comments from viewers like you really motivates me! Watch my other videos here- goo.gl/uiTDQS and give your valuable comments. Subscribe to my KZbin channel so that when I upload a new video,you get notified. If you like any of my videos,I'd request you to please like & share it. Because sharing is caring :-)

[@ramyamohan1685]

GOOD ONE

[@mohammadmoniruzzaman5088]

Wonderful.

[@emanuelguadamuz2785]

You should explain each solving method showed at the end of the video.

[@nishigandhagamare3225]

thank you so much sir ...for such a good and easy methods

[@asadejaz4092]

thank you:)

[@JOMHEL520]

Mr.Sujoy, why that you dont use the MODE 5:Equation, option 3?

[@sujoy70]

+Jo S To show useage of MATRIX mode. But you can use EQN to solve eqns directly.

[@JAFFER3657]

hey man are u sure it is 100% acceptable and i won't lose any marks?im afraid to use this in my exams becoz some steps are missing

[@MegaThaki]

Thanx a lot !!!!

[@sujoy70]

+Thakshila Dasun Thanks! Subscribe to my KZbin channel so that when I upload a new video,you get notified. If you like any of my videos,I'd request you to please like & share it. Because sharing is caring :-)

[@dumbcat5037]

exactly at 6:41 where did the matrix go?? May be there's a glitch

[@Bigly]

Any idea how I can use this calculator to do cramers rule that consist of complex numbers in the form a+bi

[@sujoy70]

***** No you can't mix matrix mode and complex modes on this calc. To know complex mode- kzbin.info/www/bejne/hX3SqaNvrbSmb5Y and matrix mode- kzbin.info/www/bejne/aYvVc3lqmMSqhtE

[@Bigly]

Ah, I have a circuit exam soon with an AC circuit. I have 2 or 3 equations that can be solved with cramers rule however they contain complex numbers. I guess I'll have to do it manually which will take long :(

[@sujoy70]

***** You can't mix and match the modes. But you can't definitely watch my vids on these two modes of the calc to know how to use them to the fullest! :-) Matrix mode- kzbin.info/www/bejne/aYvVc3lqmMSqhtE and complex mode- kzbin.info/www/bejne/hX3SqaNvrbSmb5Y

[@Bigly]

Thanks.

[@layalnd9168]

thank you so much

[@sujoy70]

+layal nd It's my pleasure! Comments from viewers like you really motivates me! Watch my other videos here- and give your valuable comments.Subscribe to my KZbin channel so that when I upload a new video,you get notified. If you like any of my videos,I'd request you to please like & share it. Because sharing is caring :-)

[@pentoxideman8824]

thanks a lot broooooo

[@sujoy70]

pentoxide man It's my pleasure! Comments from viewers like you really motivates me! Watch my other videos here- goo.gl/uiTDQS and give your valuable comments. Subscribe to my KZbin channel so that when I upload a new video,you get notified. If you like any of my videos,I'd request you to please like & share it. Because sharing is caring :-)

[@pentoxideman8824]

AMEN BRO

[@hemalatha8480]

Sir inko one week lo exams vunnayi sir miru cheppe video maku chala use avuthumdhi sir.sir Picards method kuda chepandi sir plzzz

[@bananikhuntia4270]

Thank you

[@sujoy70]

+Banani Khuntia It's my pleasure! Comments from viewers like you really motivates me! Watch my other videos here- goo.gl/4gvpeC and give your valuable comments.Subscribe to my KZbin channel so that when I upload a new video,you get notified. If you like any of my videos,I'd request you to please like & share it. Because sharing is caring :-)

[@sujoy70]

Alternative methods for solving system of linear equations- 1. Gauss Elimination Method - kzbin.info/www/bejne/eYjHZoiKgLSrd6c 2. Gauss Jordan Elimination Method - kzbin.info/www/bejne/eYjHZoiKgLSrd6c 3. Gaussian Compact Scheme - kzbin.info/www/bejne/gJXGqWqOe9Z1fZI 4. Cramer's Rule - kzbin.info/www/bejne/bJzMYXmQn8R5odk 5. Matrix Inverse Method - kzbin.info/www/bejne/goamhGyPgdeVbqM 6. Matrix Rank Method - kzbin.info/www/bejne/mYmpk3aijMmcd80 7. Adjoint Matrix Method - kzbin.info/www/bejne/eHSug5uXYtCZo9E 8. Direct Solution on Casio fx-991ES Scientific Calculator - kzbin.info/www/bejne/a529fGaQndqLe7s

[@shankysays]

@sujoy how to solve complex number equation using crammer ? i mean the equations we get on applying mess or node analysis on AC circuits

[@jmoncepe9627]

it is easier if you use mode 5 then press 2... no need to get the determinant and matrices to solve for x, y, and z.

[@anavkatwal3986]

you are a life saver

[@sujoy70]

This vid was for introducing Cramer's Rule, for direct soln, watch my vid- kzbin.info/www/bejne/a529fGaQndqLe7s

[@usmanjibril6786]

Sujoy Krishna Das how to find 4,4 matrix in rref using Casio fx

[@nikitarijal5922]

Can't thank you enough

[@arshadjunaid5410]

thnks buddy..

[@sujoy70]

Thanks! Subscribe to my KZbin channel so that when I upload a new video, you get notified. If you like any of my videos, request you to please like & share it. Because sharing is caring :-)

[@shivanichawla3774]

Thnxxx 😊😊😊

[@sujoy70]

It's my pleasure. Please do subscribe for more videos.

[@maxlav742]

Thanks a lot - it's a huge help

[@MrNicz143]

thanks alot from philippines XD

[@sujoy70]

John Llanos Greetings accepted from India :-) Comments from viewers like you really motivates me! Watch my other videos here- goo.gl/ZxFOj2 and give your valuable comments. If you like any of my videos,I'd request you to please like & share it. Because sharing is caring :-)

[@NowshinJahan-ut3th]

Tnx. From Bd

[@tusette9641]

Hello there, ok I gotta question for you sir. If I want to solve a similar equation but it has only X and Y =Z and there is 3 of them, how can I solve that? so it will kinda look like this, X +Y= Z X +Y= Z X +Y= Z Is there a way to solve this using fx991?

[@sujoy70]

+Moayad Kennedy Check my this vid- kzbin.info/www/bejne/a529fGaQndqLe7s If you like any of my videos,I'd request you to please like & share it. Because sharing is caring :-)

[@tusette9641]

+Sujoy Krishna Das my man Sujoy, thanks for replying but the video link didn't really helped! it didn't really answer my question! I think there is no way to solve that kind of an equation using fx 991 . thank you anyway.

[@sujoy70]

+Moayad Kennedy Plz write the question below as it is. I'll check.

[@tusette9641]

+Sujoy Krishna Das X + Y + Z =100 2000X + 6000Y + 8000Z=400000 and even the matrix -2 3 -7 9 3 -2 0 -2 Thank you for replying though

[@sujoy70]

+Moayad Kennedy In linear equations, if there are 3 variables then there's to be 3 linear equations to solve it. However in Linear Programming (Simplex Method) there can be an exception. Check my Simplex Method videos to know more- kzbin.info/www/bejne/sJKbc2B5mZ2trck

[@abdullahhidayatullah5049]

By watxhing your videos i am really really forced by my swlf to subscribe you. Thanks and keep going

[@sujoy70]

Abdullah Hidayatullah That's good! I think if you can force yourself little bit to share some videos also, that would be better :-)

[@abdullahhidayatullah5049]

I am one step further than you i shared it with my friendsssss on fb.

[@abdullahhidayatullah5049]

But i have a request for you please upload a video on how can we see formulas from a calculator

[@shivanichawla3774]

Ap bina casio use kre simple calculation bata sakte ho

[@sujoy70]

pause the video and refer the note I've written on paper. that's the normal solution of the problem without calculator. I just used calculator to make calculation easy. you can avoid calculator and do manual calculation if you want.

[@anuragjanbandhu6372]

really excellent

[@sujoy70]

+Anurag Janbandhu Thanks! Seems like you did not subscribe to my channel or shared/liked any of my videos. Plz do so. Check more MATRIX vids here- goo.gl/4gvpeC

[@xgodyeee]

helpful :)

[@sujoy70]

+Omio Thanks! You did not subscribe to my channel or shared/liked any of my videos. Plz do so. Check more vids here- goo.gl/uiTDQS

[@xgodyeee]

Done!! Can I have ur fb profile link??

[@sujoy70]

+Omio Request you to Like and share my vids that helped you. Sharing is caring :-) Same as my YT profile name. But I accept limited req on fb. I prefer commenting on YT with your prob so that my other viewers can get benefitted with the soln I provide. Happy New Year!

[@xgodyeee]

Thanks for replying. Happy New Year.

[@xgodyeee]

Do have any tutorial about multiplication between two 3*3 matrix??

[@dangerzara]

this was so fucking swag thank you so much

[@limweihan2185]

wow

[@sujoy70]

270+ views but only 2 likes/shares? Come on guys, if you like any of my videos,I'd request you to please like & share it. Because sharing is caring :-)

[@Samer9]

+Sujoy Krishna Das Thank u sir u helped me alot

[@shivanichawla3774]

Last mai kuch samjh nhi aa raha hai.

[@HemanthKumar-iu2oy]

Thanks make better one