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

[brolyssjs]

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!

[peacefulgarden-jo]

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!

[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.

[hertselcorech]

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

[chilelekokalaluka]

Aaah big man uliwakuleka fye ulitole ( translation, you're great thanks a lot for this new method....) 2024 is my year

[Canda-fhxc]

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

[ascendantgod-empoweryourse]

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!

[kujmous]

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

[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.

[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.

[YaleQuatts]

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

[Ishanya_]

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

[hangwannabe]

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

[pirhoworld]

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

[miltonroberts]

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

[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.

[andrewmccaskill]

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

[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.

[wesh]

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