Part 1, Solving Using Matrices and Cramer's Rule

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Mr H Tutoring

Жыл бұрын

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

Пікірлер: 306

@infinitymfg5397 7 ай бұрын

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

@mrhtutoring 7 ай бұрын

You're very welcome!

@wdobni 9 ай бұрын

how does cramer come up with this stuff?

@michaelrocabado7803 Ай бұрын

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.

@oilman1758 Жыл бұрын

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

@Ray-qb7tk Ай бұрын

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

@armandoparamo5232 Жыл бұрын

You're awesome professor! Thanks

@rexraptor1094 Жыл бұрын

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

@Formula456 Жыл бұрын

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

@mrhtutoring Жыл бұрын

I hope you did well!

@ocayaro Жыл бұрын

@@mrhtutoringI hope he remembered to find determinants using cofactors

@adolft_official 10 ай бұрын

Madarsa name?

@genkuryuu 5 ай бұрын

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 5 ай бұрын

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

@user-nw8yn6tw4o 9 ай бұрын

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

@jaimebotello1793 11 ай бұрын

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!!!!

@IAmShe593 8 ай бұрын

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 5 ай бұрын

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.

@muzimsebenzisimelane2991 13 күн бұрын

Wow... it's wonderful to watch .

@Talon167 Жыл бұрын

Good stuff, Mr. H. Thank you!

@smashingstuff2454 Жыл бұрын

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

@shegsdev Жыл бұрын

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

@mrhtutoring Жыл бұрын

Glad I could help!

@dimuthdarshaka7985 8 ай бұрын

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

@sh1vam303 Жыл бұрын

Nice one sir 💯

@muhammadnawab3959 9 ай бұрын

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

@-_PuRe-DaRkNess_- 7 ай бұрын

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 5 ай бұрын

teaching.

@shanvadi1464 Жыл бұрын

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

@mrhtutoring Жыл бұрын

Wow, thanks

@lenstarlennox4320 Ай бұрын

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

@user-qc5bo6zq4k 11 ай бұрын

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

@macee333 9 ай бұрын

This was extremely helpful, thank you :)

@scarlettsanders8781 3 ай бұрын

Thank you for the easy-to-understand video!

@HelenaAndreas-dy4qs Ай бұрын

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

@abshariadam 20 күн бұрын

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

@user-tf7pm7yx9t 8 ай бұрын

You are a great proffessor❤

@donjud1 Жыл бұрын

Excellent, thanks.

@devadharshini7953 8 ай бұрын

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

@hermansims2296 Жыл бұрын

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

@mrhtutoring Жыл бұрын

You're welcome!

@luizantoniodossantos4126 3 ай бұрын

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

@murdock5537 8 ай бұрын

Great vid, many thanks, Sir!

@md.mostafa5216 Жыл бұрын

Thanks for solving method.

@user-ok6re8gv1q 3 ай бұрын

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 Ай бұрын

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 Ай бұрын

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

@cole4249 8 ай бұрын

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

@stoic_gs_real 2 ай бұрын

Thank you Mr. H.

@amimaalam3357 Жыл бұрын

quite fun to solve the equation in this manner

@Ohboy153 Жыл бұрын

Wow you are a mathematician

@pamelia-ow5gj 24 күн бұрын

Mr H is so clever at teaching

@MathsSimplifiedClass 8 ай бұрын

Very straightforward. Good one daddy.

@cleolima6853 Жыл бұрын

AWESOME! Greetings from Brazil!

@mrhtutoring Жыл бұрын

Hello there!

@heroesonline7046 Жыл бұрын

Always learning new things. Thank you Mr H.

@JagAss-ls7ie 2 ай бұрын

Good video.

@evansngetich2687 3 ай бұрын

Nice example and hope it applies in 3 by 3 matrix

@user-oy6nh9ek3l 4 ай бұрын

Thank you very much! Keep it up

@topc5515 6 ай бұрын

The BEST VIDEO ON CRAMERS RULE EVA

@mrhtutoring 6 ай бұрын

👍

@user-iu8uk5tc9s Жыл бұрын

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

@mrhtutoring Жыл бұрын

Glad to hear that!

@emmersonmotta994 Жыл бұрын

Make comments let's help the channel grows.

@mrhtutoring Жыл бұрын

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

@emmersonmotta994 Жыл бұрын

@@mrhtutoring You're welcome.

@SALogics Ай бұрын

nice explanation ❤

@Krishna-zu5bi Жыл бұрын

You are a great teacher❤

@Mark_Knight Жыл бұрын

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 11 ай бұрын

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

@masadamsahid 11 ай бұрын

Thanks Mr. H

@Artistic-Diary Ай бұрын

u r a good teacher

@AchtungBaby77 7 ай бұрын

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.

@jksinha1098 Жыл бұрын

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

@mrhtutoring Жыл бұрын

You are most welcome

@favouribeabuchi2923 3 ай бұрын

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

@baikerbaikerhamilton6909 4 ай бұрын

Very good thenks

@davidtyler3116 11 ай бұрын

Thank you for this!

@WalterFernandes-du7om 22 күн бұрын

Superb as always...

@mrhtutoring 21 күн бұрын

Thanks a lot 😊

@collinsozisule8482 5 ай бұрын

Superb

@murphyslaw5150 Жыл бұрын

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 11 ай бұрын

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.

@georgesadler7830 9 ай бұрын

MR H Tutoring, thank you for the video.

@HssenAhmed-kq6ci 8 ай бұрын

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

@traveladdkhajuraho5764 Жыл бұрын

Love your videos prof a request to upload jee related videos

@nottherealmana Жыл бұрын

Looking forward on the next video!

@mrhtutoring Жыл бұрын

Coming soon!

@pureffm 8 ай бұрын

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!

@PetherNortal1 7 ай бұрын

This man came in clutch 🙏😭

@bestsolutionlaid Жыл бұрын

Explanation clear .Thanks .

@mrhtutoring Жыл бұрын

Glad you liked it

@hameedamathtuber 11 ай бұрын

Wonderful lecture

@mrhtutoring 11 ай бұрын

Many thanks

@stardreamix786 Жыл бұрын

Thank you so much, Very very useful!!!

@mrhtutoring Жыл бұрын

Glad it was helpful!

@muhammadfaisaldara Жыл бұрын

Thanks sir ❤

@luisclementeortegasegovia8603 Жыл бұрын

Thanks professor, this determinants are an invaluable help!

@mrhtutoring Жыл бұрын

Glad you think so!

@Benjasom-qo5vn 11 ай бұрын

Best teacher

@napoleonbonaparte8067 Жыл бұрын

Impressive

@wreckim 11 ай бұрын

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

@mrhtutoring 11 ай бұрын

Always appreciate a compliment from another teacher.

@ganda3454 7 ай бұрын

(2x+6y=-1)-(2x+16y=4) -10y=-5 y=-5/-10 y=1/2 (8x+24y=-4)-(3x+24y=6) 5x=-10 x=-2

@chicojcf 11 ай бұрын

thank you Sir.

@BijouBakson 11 ай бұрын

Excellent! :)

@angithdrinkerofhoney1305 8 ай бұрын

Thanks so much

@Shravan9031 Жыл бұрын

#JayHind 🌺🌺🌺 Love from India ❤🙏🙏🙏

@liajlwghawj4057 Жыл бұрын

Perfect!

@Anarchist_Noir 4 ай бұрын

Bringing back memories of Linear Algebra

@Abdulmahmoud355 8 ай бұрын

I have studied mathematics in faculty of engineering very much in details and in highest levels In fact it was useless during my work over 30 years Really I didn’t get use of it at all Now I feel it was just waste of time for a normal mechanical engineer It could be useful for other fields of engineering like military or space or submarines but not for all fiefs of engineering

@Ohboy153 Жыл бұрын

You are an awesome teacher

@mrhtutoring Жыл бұрын

Wow, thank you!

@billy.7113 11 ай бұрын

Using matrices are best for computers to deal with many variables.

@mrhtutoring 11 ай бұрын

Exactly!

@Ohboy153 Жыл бұрын

In India I have a teacher like you

@Amansarkar700 11 ай бұрын

🤭❤️

@blackgross6372 8 ай бұрын

Go to him then

@notanrkive 10 ай бұрын

thankyou so so much or this video really helpful :D

@renr4502 Күн бұрын

Thank you ❤

@kranthikumar9998 Жыл бұрын

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

@mr.x1510 Жыл бұрын

I think I need to revisit this

@aminushehudanhassandanhass1792 10 ай бұрын

That's amazing

@juanalbertobalcazar1542 11 ай бұрын

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

@mrhtutoring 11 ай бұрын

Muchas gracias!

@arthurpapykiniuka3009 11 ай бұрын

Thanks.

@HH_Vision Жыл бұрын

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 Жыл бұрын

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

@HaldaneSmith Жыл бұрын

So when do you use Cramer's rule?

@georgeg.1066 Жыл бұрын

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.