Part 1, Solving Using Matrices and Cramer's Rule

This part 1 video explains how to solve 2 equations with 2 variables using matrices and Cramer's Rule.

[@infinitymfg5397]

This is one of the best explanations for matrices that I have ever seen. Thanks for this.

[@mrhtutoring]

You're very welcome!

[@oilman1758]

I used this approach in engineering all the time. Bringing back memories.

[@Ray-qb7tk]

We used it for solving inequalities and linear programming warehouse allocation.

[@michaelrocabado7803]

Wow I never thought I would learn this that fast, thank you so much!! He showed me in 4mins what my class couldn't in 1 hour LOL.

[@Formula456]

this actually came in my final math exam today (Grade 11) with three variables

[@mrhtutoring]

I hope you did well!

[@ocayaro]

@@mrhtutoringI hope he remembered to find determinants using cofactors

[@adolft_official]

Madarsa name?

[@genkuryuu]

You still do this in grade 11? Here in Vietnam, solving this, including 3 and even 4 variables is like grade 8 math

[@atharvaa.sinhaa]

​@@genkuryuugood buddy but i jst wanna ask what will be the age of a kid to have admission in 8th grade 😅😂

[@shegsdev]

I've been looking for this for a long. Forgot all about it since high school. Thanks for the video.

[@mrhtutoring]

Glad I could help!

[@armandoparamo5232]

You're awesome professor! Thanks

[@user-nw8yn6tw4o]

I totally forgot it,but now it's kind of stuck in my head for good.thankyou very much.🙏

[@rexraptor1094]

Here I thought I mastered all of the methods. Thank you for this information. I will try it out.

[@Talon167]

Good stuff, Mr. H. Thank you!

[@IAmShe593]

Never thought i would understand this method but i just did all thanks to you sirr🎉🎉so brief and extremely clear.. bless your heart ❤

[@KenFullman]

I wouldn't exactly call it clear. Maybe it's just my age and being a Brit but an interpunct is what we use as a decimal point. So in my book 2·8 - 6·1 = -3·3 It gets even more confusing when he seems to be using the interpunct when he expresses Dx = ·20 which I read as 2 tenths NOT negative 20. I had to replay about 4 times to understand what he was doing. I realise that, in the modern day, it's more common to use the dot on the bottom of the line as a decimal point but in handwriting, we still use the interpunct as a decimal point. (and he was clearly writing by hand) I have to concede that some of this misunderstanding is due to me being a dinosaur, but the sloppy negative sign really didn't help.

[@-_PuRe-DaRkNess_-]

My math teacher is really bad at teeching and explaining the lessons, but from your explanation Mr H, I understanded it very well! Thank you so much professor, and have a good day! ‏‪

[@alastairgreen2077]

teaching.

[@dimuthdarshaka7985]

Very clear . Thank you sir From Sri Lanka.🙏🙏🙏🙏

[@jaimebotello1793]

Thanks master, on my first job about CAE, we must to use another procedures, we had 2000 x 2000 matrix, so the problem is not produce a big numbers that reach overflow the computer....it was on 80's... saludos desde Mexico!!!!

[@muhammadnawab3959]

Great sir .u made creamer,s rule so much easy

[@smashingstuff2454]

I really like you as a math Tutor ❤️ I will try this method out for fun

[@shanvadi1464]

you always make things simple esp. In maths. you are Master wonderful for teaching maths.

[@mrhtutoring]

Wow, thanks

[@lenstarlennox4320]

Thank you. I always watch this video when I'm revising Cramer's rule.

[@macee333]

This was extremely helpful, thank you :)

[@user-tf7pm7yx9t]

You are a great proffessor❤

[@donjud1]

Excellent, thanks.

[@scarlettsanders8781]

Thank you for the easy-to-understand video!

[@HelenaAndreas-dy4qs]

thank you so much Mr H, i have been struggling alot with this kinds of problems

[@sh1vam303]

Nice one sir 💯

[@devadharshini7953]

Really very useful sir ,I can teach for 10th students

[@user-qc5bo6zq4k]

Thank you so much you made it soo easy and straight forward

[@luizantoniodossantos4126]

Thanks for sharing. Keep up the good work!!!

[@abshariadam]

Thank you for explaining the use of this. I always thought it's just another (difficult) way.

[@hermansims2296]

Yeah! A new tool to add to mathematical toolbox. Thank you.

[@mrhtutoring]

You're welcome!

[@topc5515]

The BEST VIDEO ON CRAMERS RULE EVA

[@mrhtutoring]

👍

[@md.mostafa5216]

Thanks for solving method.

[@Krishna-zu5bi]

You are a great teacher❤

[@Mark_Knight]

This guy is why I quit teaching high school math. He's so much better than me that I realized I was not a natural. So many teacher better at math. Sounds bad, but sometimes you have to admit defeat.

[@vitominiello6561]

@@Mark_Knighthey you can always learn and improve, do not give up on your passion!

[@cleolima6853]

AWESOME! Greetings from Brazil!

[@mrhtutoring]

Hello there!

[@murdock5537]

Great vid, many thanks, Sir!

[@user-oy6nh9ek3l]

Thank you very much! Keep it up

[@cole4249]

Wow, this saved me to be honest. Thank you.

[@amimaalam3357]

quite fun to solve the equation in this manner

[@user-ok6re8gv1q]

You make Maths,....dare I say it? ....SIMPLE, FUN, INSPIRING and INTERESTING!!! Who would have thought there is a teacher there that makes Maths doable and FUN?!!!

[@garyd5095]

The teacher is what makes math easy or hard. If it feels hard for you or you don’t get it, your teacher was probably the main issue. There are a lot of things you have to remember and that is another problem but if your teacher can’t break it down into something understandable or relatable then you will inevitably be in the “I don’t get it” or “math is hard and not fun at all” group. I always liked math and was fairly good at it but every once in a while I would get a teacher that could only teach what the examples were or couldn’t explain the process. I had to figure it out myself and find a way to make it make sense to me, which would put me behind a little. The struggles I had made it easier to teach others cuz I taught myself how to break it down into understandable steps. I would tutor my cousin and spend maybe 10 mins explaining what she was learning in an hour long class. All of the sudden, she flies through her homework and can’t understand why it was so easy when it was impossible just 10 minutes before.

[@imshawaiz456]

my quiz is about to start and this guy is life saver😪😪

[@MathsSimplifiedClass]

Very straightforward. Good one daddy.

[@user-iu8uk5tc9s]

This is new to me, but i can understand easily. Thanks!

[@mrhtutoring]

Glad to hear that!

[@stoic_gs_real]

Thank you Mr. H.

[@jksinha1098]

The idea is good. Will help me a lot. Thanks Mr.H

[@mrhtutoring]

You are most welcome

[@SALogics]

nice explanation ❤

[@pamelia-ow5gj]

Mr H is so clever at teaching

[@heroesonline7046]

Always learning new things. Thank you Mr H.

[@bestsolutionlaid]

Explanation clear .Thanks .

[@mrhtutoring]

Glad you liked it

[@Ohboy153]

Wow you are a mathematician

[@nottherealmana]

Looking forward on the next video!

[@mrhtutoring]

Coming soon!

[@JagAss-ls7ie]

Good video.

[@favouribeabuchi2923]

Thank you so much Sir, this is very understandable 💖💖🤭

[@baikerbaikerhamilton6909]

Very good thenks

[@stardreamix786]

Thank you so much, Very very useful!!!

[@mrhtutoring]

Glad it was helpful!

[@Artistic-Diary]

u r a good teacher

[@evansngetich2687]

Nice example and hope it applies in 3 by 3 matrix

[@murphyslaw5150]

Imagine how many more Mathematicians would be in the world if Mr H was their tutor. In primary school, I showed a lot of potential in maths. Come to secondary and a string of terrible teachers and fleeting teachers later and I was very mediocre. Need 100,000 Mr H’s.

[@rilwanimam1799]

My was opposite. Terrible teacher in junior school made me perform poorly in mathematics. However, good teachers in senior school made mathematics to be my best subject till I graduated from University.

[@pureffm]

Does it link back to the langrange polynomial interpolation? I remember using matrice diagonalization to solve systems of equation, but I don't remember the details. Would love to get a refresher video on that topic!

[@HssenAhmed-kq6ci]

Dear Professor, we need help with indefinite integration, which we find difficult, especially the integration of circular functions 😢❤

[@georgesadler7830]

MR H Tutoring, thank you for the video.

[@masadamsahid]

Thanks Mr. H

[@davidtyler3116]

Thank you for this!

[@luisclementeortegasegovia8603]

Thanks professor, this determinants are an invaluable help!

[@mrhtutoring]

Glad you think so!

[@muhammadfaisaldara]

Thanks sir ❤

[@wreckim]

As a 5th grade teacher, I give this lesson an enthusiastic Thumbs Up. Motivational.

[@mrhtutoring]

Always appreciate a compliment from another teacher.

[@WalterFernandes-du7om]

Superb as always...

[@mrhtutoring]

Thanks a lot 😊

[@notanrkive]

thankyou so so much or this video really helpful :D

[@hameedamathtuber]

Wonderful lecture

[@mrhtutoring]

Many thanks

[@napoleonbonaparte8067]

Impressive

[@Ohboy153]

You are an awesome teacher

[@mrhtutoring]

Wow, thank you!

[@PetherNortal1]

This man came in clutch 🙏😭

[@collinsozisule8482]

Superb

[@BijouBakson]

Excellent! :)

[@angithdrinkerofhoney1305]

Thanks so much

[@Benjasom-qo5vn]

Best teacher

[@chicojcf]

thank you Sir.

[@traveladdkhajuraho5764]

Love your videos prof a request to upload jee related videos

[@arthurpapykiniuka3009]

Thanks.

[@emmersonmotta994]

Make comments let's help the channel grows.

[@mrhtutoring]

Thank you for your support for the channel. I appreciate it!

[@emmersonmotta994]

@@mrhtutoring You're welcome.

[@Anarchist_Noir]

Bringing back memories of Linear Algebra

[@medhadj695]

Thank you

[@aminushehudanhassandanhass1792]

That's amazing

[@liajlwghawj4057]

Perfect!

[@AchtungBaby77]

Good video, but I'm going to have to disagree on using Cramer's Rule for large systems. Cramer's Rule is really of theoretical importance only and rarely (if ever) used in practice. The reason for this is that it's O(n^4), whereas Gaussian Elimination is O(n^3). To put it in perspective, calculating a single determinant takes about the same time as solving the entire system with Gaussian elimination. Gaussian elimination also has additional benefits - namely, it tells you the rank of the matrix, and if there is an infinite number of solutions, Gaussian elimination gives you them all. By contrast, Cramer's rule just breaks due to division by zero.

[@mr.x1510]

I think I need to revisit this

[@Ohboy153]

In India I have a teacher like you

[@Amansarkar700]

🤭❤️

[@blackgross6372]

Go to him then

[@Shravan9031]

#JayHind 🌺🌺🌺 Love from India ❤🙏🙏🙏

[@kranthikumar9998]

Can you explain, how to calculate rank of the matrix in a detailed way.

[@NEVERNADIA-vb9qr]

Thanks sir

[@tomtke7351]

thx!

[@user-pp4cj6ul2n]

Thanks

[@francepri2415]

Thank you so much 🙏

[@mrhtutoring]

You're welcome 😊

[@MohammadAyasHakimi-wb6mx]

thank you s mach sir🤓

[@HalifaxHercules]

I wish I learned Cramer's Rule when I took Business Math courses in university along with Gauss-Jordan Elimination and SImplex Method.

[@user-yo2pi8fo6b]

Tnx my Dear teacher ❤

[@mrhtutoring]

My pleasure

[@HH_Vision]

yeah. you should also note that if we use matrices in Linear algebra or complex analysis, they wont function this way. if we use crammers rule for a three variable we’ll be better off using Gaussian elimination.

[@mrhtutoring]

I also wanted to show how to find the determinant of a matrix in the video.

[@HaldaneSmith]

So when do you use Cramer's rule?

[@georgeg.1066]

Cramer's rule is still easy to apply in 3x3 determinants. Plus, the use of this example in the video made it pretty clear that its target audience is 9th-10th grade students, and not undergrads in Linear Algebra or Complex Calculus courses.

[@user-vu9ys6if5f]

ขอบคุณ

[@sandiledlamini3253]

💯

[@Ahm4dDev]

tysm

[@juanalbertobalcazar1542]

No me pierdo ninguno de tus videos siempre estoy atento a cada uno de ellos todos interesantes saludos Profesor

[@mrhtutoring]

Muchas gracias!

[@francoisleveille409]

Somehow the function RREF of my good old TI symbolic calculator feels more ... convenient.

[@ZenureIsgenderova-wr6tk]

Mən sizi Azərbaycandan izləyirəm.Hər zaman uğurlar.

[@mrhtutoring]

Thank you.