Part 2, Solving Using Matrices and Cramer's Rule, 3 Variables with 3 Equations

The video shows and explains the following
* How to set up the matrices from 3 equations with 3 variables
* Short cut to finding the determinant of a 3 by 3 matrix
* Finding the values of x, y, z using the determinants

[@brolyssjs3]

I just learned something new in a few minutes rather than a 1 hour lecture this guy rocks!!

[@Я_Яша]

I've never been taught about this method, and you made it look simple and clear, thanks!

[@mwcviper7314]

I don't even know what matrixes are but ya this method gives some pleasure

[@luisclementeortegasegovia8603]

Great way to do it, step by step and I really enjoyed it. 👍

[@RisingwoodsGal]

Advanced algebra

[@carultch]

@@mwcviper7314 The plural of matrix is matrices. What they are, is mathematical structures for organizing the information of systems of linear equations, such as this example, and keep track of your work a lot better than if you were to just work with them as individual equations.

[@Я_Яша]

@@RisingwoodsGal The thing is, I have never taken math seriously until I started uni (Engineering), so since I have a degree in tourism, you can now see by yourself that my high school degree doesn't require any kind of math skills at all, especially in today's world (you know AI and calculators are rather predominant in any field that isn't scientifically related) moreover where I live the school system is pretty damn different from the American one, plus I'm barely 19 and well... safe for me to say I am young, therefore I still have plenty of time for me to study and improve my knowledge.

[@tom_something]

Wow, this is the first video I've seen on this channel that's long enough to have an ad break! But the repetition is so valuable when learning a new technique.

[@user-iu8uk5tc9s]

I learned this method for the first time from your two videos and I can do it by myself now. Easy to understand and clear explanation!

[@mrhtutoring]

Great to hear!

[@hertselcorech9680]

Thank you Mr. H, always a pleasure to watch and listen to you

[@mrhtutoring]

You are very welcome

[@wesh388]

The way that you present is so clear and understandable. Thank you so much!

[@oilbay54]

I've learnt this method when I was a sophomore 50 years ago when I was 18. Memories come. Thank you.

[@Ishanya_]

I wish I had a math Prof like you, greatest respect++++

[@hang10wannabe]

Taking Discriminants of matrices over 2 variables is so complicated that this method is so much nicer. Thanks for the heads up!

[@dougeike]

Good video! Just the right pace to learn the complete process without wasting any time. Thanks!

[@bukafullobah8831]

I love this method and I will like to show it to my fellow course mates who have been struggling to solve this using crammers

[@YourMom-tm7qx]

You have no idea how much pain you just saved me I have a test tomorrow and I’ve been looking for a video like this to learn from

[@ItzKhaycee]

Thank you so much Mr.H..you simplified the steps well enough for me🙏🙏

[@JaJa-qv6gd]

Tomorrow is our Linear Algebra Quiz, this is so helpful! Kudos to Mr. H!!!

[@RAILWAY_FILMS]

Thanks for this major flashback from my Freshmen Year in EE. I had forgotten how to do this. I found your explanation to be really very good and inspirational.

[@mrhtutoring]

Glad it helped!

[@pirhoworld]

That was clear and concise. The best explanation of how to solve using determinants I have ever seen. Thank you for your videos.

[@mrhtutoring]

Great to hear!

[@krw8461]

Amazing video, thank you for not taking short cuts on explanations and illustrating each calculation.

[@tungyeeso3637]

Intriguing. The more variables there are, the more time-saving one benefits from using this approach. Cool.

[@RFVisionary]

👍🏻 Very clearly and straightforwardly explained. In my memory this was (apparently) so complicated that I always avoided the matrices calculation. THAT is now a thing of the past. Thank you for this presentation.

[@mrhtutoring]

Glad it was helpful!

[@andrewmccaskill2845]

this is definitely the first time I've loved math with a passion and understood it too. Thanks for your commitment.

[@mrhtutoring]

You're very welcome!

[@josechacon9939]

This is a good refresher video. Linear algebra was so fun once I started to understand

[@rogercornelio995]

So funny, BUT seriously! Learned this method long time ago. The difference is, I re-learned this method better than first one!! Excellent explanation!!!

[@finn7530]

this was beautiful, and the projector + blackboard combination was also beautiful

[@YaleQuatts]

This is extremely good content. In two videos you helped me understand what I couldn’t grasp in a whole semester of linear algebra!!!!!

[@mrhtutoring]

Glad it was helpful!

[@Abdullah_Tariq996]

sammme thank you so much

[@Factsrahasy]

​@@mrhtutoringthank you so much i was stuck in matrix method.. Saved the day🎉🎉❤ 😁

[@77NARF]

Wow! Math in my US schools was not taught this way! This is excellent!!

[@johnmurray8428]

I remember something like this Mid-Essex technical college 1971 or 72 HNC Electrical Engineering Math. All these years later, I now understand it. Thank you!

[@Aerospaceman]

The old school method is to cover and multiply through to find x, y, and z. Then add and or subtract to find x, y, and z. I studied 4 years in aerospace engineering and your short cut method is short and painless. I’ll never stop learning. Thank You.

[@pepeinno9336]

I have never studied matrices but this looked easy first time. Now I will teach this to my kids. Thanks

[@kujmous]

The method I was taught for calculating determinants was much more complex. This is elegant! Thank you for this.

[@mrhtutoring]

Thanks for appreciating the method.

[@carultch]

The method of positive diagonals and negative diagonals as he showed here (the rule of Sarrus), only works for 2x2 and 3x3 matrices. Once you get to 4x4 matrices and beyond, it no longer works. That is probably why they taught a much more complex method, so it can generalize for higher dimensions of matrices.

[@Ridhimadolas]

Thank you once again for explaining this concept so fantastically.

[@HalifaxHercules]

When I was a Business student in university, we were never taught Cramer's rule for solving for systems of equations with three or more variables. In fact, I often used Gauss-Jordan Elimination or Simplex Method (typically used for Linear Programming) when solving systems of equations with three or more variables.

[@wolverngpinas]

I understood this better than the 3 hour discussion i had. this solution might be longer but its easier. Thank you so much Mr. H

[@birhanemelaku3931]

Really short and easy to understand . Thank you for sharing this 😊

[@haywoodjohnson2865]

Thank you Mr. H I Graduated as an E.E. , and you're explanation of the Crammer rule have made it easier. I am looking forward to doing some practice problems.

[@mrhtutoring]

Best of luck!

[@gm2407]

Best two maths lessons I ever had.

[@yigit7824]

Thank you. You are good man and good teacher.

[@sandroch8967]

Very good! Congratulations for your class!

[@areen3592]

This is the all time best video on this topic

[@RhodesPvP]

Mr H, I bow to you. Incredible.

[@Ylldrit.Miftari]

This is really useful. I paused the video to try and solve y and z on my own, using your method, and it worked! Thank you so much.

[@mrhtutoring]

Glad it helped!

[@Gruzzly]

Amazing video! Thank you!

[@ioi0001]

Fantastic explanation! Wow! ... and THANK YOU!

[@sandilegcaba7253]

Amazing content Excellent explanations

[@Trendy-nd9ho]

Amazing! We’re never taught it before.

[@bygrace6578]

Unbelievable! I just learnt it even faster. Big up❤

[@giovannimosquera9257]

Great teacher !!!!! Kids now day need this kind of inspiration!!!

[@UdayKumar-ly5ot]

Thanks sir. But I am not in higher classes but solved this question using class 10th Substitution and elimination method . I just opened my mind tried to thing inovately like you.

[@ascendantgod-empoweryourse8045]

You took something that I wasted a good hour or so trying to figure out after the professor's explanation (and relatively convoluted method compared to yours), and made COMPLETE, SIMPLIFIED sense of it within less than 9 mins. Thank you so much for this video! I don't get why my professor did such a more complicated method than this!

[@joedadiabeticeats7645]

Good solution, new to this process. Thnx

[@Canda-fh4xc]

20 years ago, Our math (Linear algebra) professor at the university never mentioned this method. Thank you for uploading this video.

[@pepeinno9336]

The agenda in the maths community just as in the world order is to render maths obscure, to avoid passing a liberating science to the masses.

[@peterclancy3653]

I left school in 1969 (year 12 ) never saw or heard of this method. My brain is in line for a fair bit of a workout! Thank you!

[@mrhtutoring]

Happy to help!

[@ekbalmokhammad8620]

Thank you for your teaching 🌹 I like matrices . This method is very slowly and interesting.

[@peterheerens3093]

I did learn it @ uni when learning to program. This is a good methode to automate

[@shennalim111]

I enjoy your videos very much. I'm amazed that someone worked this out in the first place (as I am with a LOT of maths stuff). Thank you and greetings from Australia.

[@mrhtutoring]

Glad it was helpful!

[@unusuallyy]

The way that you find the determinant was awesome 👍👍👍👍👍👍👍

[@saifialeem8255]

Loved this method, will help greatly in competitive examinations

[@delphinmutaka8145]

This is the most effective way to solve for xyz in matrix. Very good

[@miltonroberts6149]

Congratulations on your getting 100,000 followers. I enjoy the clarity of your presentations.

[@mrhtutoring]

Thank you very much!

[@DelesaTamirat]

You are good teacher 🎉

[@njuman1]

this method is amazing! thank u for this

[@AlbertChanda-oy9m]

Wonderfully explained ❤

[@jafarakechmalueth6168]

I appreciate such amazing work, God bless you sir ❤

[@ItzKhaycee]

Just two videos and I have mastered it well enough.. God bless you Mr.H

[@mrhtutoring]

Great job!

[@guidoreuter6032]

Math is my hobby and really enjoy these videos .. clear and concise. Thank you, Mr H .. keep up the good work, and Hello! to everyone in these comments

[@mrhtutoring]

Thanks, will do!

[@SkeeterHawkins]

Excellent instruction!

[@bestsolutionlaid]

Thanks You Mr H. For these example for a easy way understanding Cramer's rules for calculate systems of equations.

[@mrhtutoring]

You are welcome!

[@sreedhar75perupally]

This is the first time I came across Mr H's Video. Really Cool Explanation. Thanks a Lot for your Simple & Clear teaching 🙏👍

[@mrhtutoring]

Thanks and welcome

[@hashimbenhashim5417]

thanks for the great explanation ....

[@TimeSum21]

Cool. I had forgotten how to do Cramer's rule and the shortcut method of taking matrices. Thanks

[@mosesdickens]

You've just made this so easy for me thank you..😎💯👍

[@EzinneAmadiugo-ty3mv]

Thanks a lot. Please I need more of your tutors in maths❤❤❤❤

[@kennethkngoma1262]

This is very good and simple to understand. Thank you

[@RachealHibeenzu]

Hi can u please explain to me what he said when you are found to have negative values ,🙏

[@user-xy7so3zj6c]

Thank you sir. Very nice presentation

[@simonpayne7994]

Amazing! I have never seen this method.

[@celebritysiren20]

Thank you Mr Your tutorial was awesome ❤

[@IcyimanizanyeClaudine-yo6rr]

❤ Thank you so much, now I understand. this way is really easy it was hard for me then but now I can solve it thanks again🎉

[@mrbenwong86]

I don't think I learnt Matrix in high school, or not anything useful Matrix, this is very educational.

[@BenedictOwusuFrimpong]

What's the name of the method please

[@ihaszimi1996]

Thank you bro, you did a good job!

[@boredomgotmehere]

Thanks so much sir. God bless you Sir.

[@THOLJOACK]

This is now being easy for me when I look this method

[@SibusisoMatiya]

well this method is quite amazing than those one we are thaught of and i learned a lot from it thanks

[@hyperion7430]

Bro, u r the goat

[@joecacurak5404]

Have a program for 12 equations in 12 unknowns in Texas instrument's basic on cassette tape. Liked ur explaination.Gr8 job.😊Hope didn't throw away. Fit in 16k of memory.😊

[@MeLOonafer]

The best way to explain! Thanks a lottt! ❤❤

[@mrhtutoring]

Glad it helped!

[@ajmiller7102]

Excelent....very clear explination of determinants and Cramer's Rule (from and old mathematican)

[@mrhtutoring]

Thank you for the compliment

[@ElizabethfAwino]

Woooow,,this is just woooow,,,I'm happy to learn this concepts 😅

[@glorymajengbasan6847]

I loved the video, you made it easy to understand... Thanks

[@mrhtutoring]

🙏

[@heroesonline7046]

Thank you, was waiting for part 2

[@dxfootball4216]

Same😅

[@mrhtutoring]

Hope you enjoyed it!

[@tonsonchat1613]

Thanks it make me more understanding

[@jonahnduhukire4512]

Thanks very much for simplifying it

[@user-vg5zo4qf4p]

Thanks a lot I will never forget this

[@FarmYardGaming]

Where were you during my A-Levels?! Thanks for this guide!

[@mrhtutoring]

Glad I could help!

[@user-cq9gw7bh6o]

Thank you I have finally understood crammers rule 😊😊

[@zenersmytok3619]

This is brilliant !.

[@_lilpopsmoke3144]

Appreciated big man ❤️

[@ndaziharuna4820]

Thnx Mr H I understand very well

[@annedoan5807]

Thanks Sir! Love your teaching.

[@mrhtutoring]

So nice of you

[@TheRees89]

Thanks Mr H! this was very helpful

[@mrhtutoring]

Glad to hear it was helpful.

[@umahmaruche9829]

This guy is good he made it look so easy and just helped me in my 50 question matrix homework 😊😊😊😊😊😊😊😊

[@DhakiyaMahal]

I can’t thank you enough for simplifying 3by3 matrix for me