@cfgauss71

Showing how matrices can be used to blur images was awesome.   As a civil engineer, I should add that matrices are also used to analyze entire structures (building,  bridges, etc),  where a force matrix (ex: the loads the individual beams or columns experience) is equal to the product of a stiffness matrix (reflects the material properties) and displacement matrix (how much the members of the structure move).  In effect, it's Hooke's Law, only taken to an extreme level using matrices.

@khari_baat

Dear Zach, I thank you from my heart. This video alone is worth more than years spent in mathematics. I remember multiplying matrices by matrices and answering questions in exams without ever understanding what are they trying to do. The education system sucks big time.

@martinmartinmartin2996

As an electronics engineer that dabbles in math: 

             For 30 years I have puzzled: WHAT IS an eigenvector ?
             Finally (for the first time, after 40 years ) I have UNDERSTOOD !
Thank you !

@chaselongenecker5398

Modern mathematics education’s biggest crime is not explaining what the hell anything is useful for before you learn it.

@patrickmayer9218

Notes:

*Vectors that are only scaled by matrices are called eigenvectors  of that corresponding matrix. 
*How much the vector is scaled by is called the eigenvalue.
*Blurring, distorting, and sharpening images all use very specific matrix math on the pixels to get the desired result.

Thanks for the video, Mr. Star!

@sdeerwester

I'm one of the authors of latent semantic indexing/analysis, which is a technique that some folks in natural language processing, machine learning and search engines have found useful. It's based on some pretty funky linear algebra. I just wanted to say that, even with the major role that matrices in general and linear algebra in particular have played in a very important chapter in my life, I still learned things from your intro. Very nicely done.

@tyereksmith8946

The internet is so wonderful just imagine being a million miles away and find a great teacher like you who isn't boring. Great job nuff respect from kingston jamaica 👍🏾

@jonny2575

No one: this video is getting long and uninteresting..
You: “As much as I’d love to keep going into depth on different subjects, this video is already quite long.”
You sir are a gentleman and a scholar. PLEASE make a part 2.

@turpialito

Zach, people like you should really have a voice in public education policies. My sincere congrats.

@Bald_Zeus

I'm studying to become a mechanical engineer and I've really struggled with linear algebra, mostly because I haven't grasped how I need to view it. This video helped me immensely

@Zilberlex

He did not explicitly say it, but seeing the number of graph triangles in the last part basically allows you to calculate for potential threesomes.

@felipeflores5403

Man, you talked about pandemics and riots and I'm here watching this in June 2020 convinced you're an actual prophet

@verdugo4486

Matrices are a crucial part of 3d graphics. In my graphics game engine that i am writing from scratch, all the mathematics related to transforming, rotating, scaling and even projecting the scene onto the screen is handled using matrices. 

I too was really surprised that matrices can be so useful when i was first exposed to graphics programming. Its sad that they dont tell you stuff like this in school.

@angqingxiong

1:14 Vectors
4:51 Electronics
5:13 Zombie predict
9:17 website ranking
9:35 assault victim
15:09 Computer graphics

@DavidPressley

Thanks! Real world examples are excellent 

@dineshk9803

I wished, I watched it before entering into high school, now I'm pursuing engineering. I was like "WOW". Thanks Man

@theonionpirate1076

"Any vector that is only scaled by a matrix is called an eigenvector of that matrix. And how much the vector is scaled... is known as the eigenvalue."

Wow, those two simple facts would have been nice to have known when I was taking linear algebra.

@Jocularious

I'm a third year math major. And finally I know what a eigenvalue and eigenvector mean. Like doing the math, no worries. Asking to explain what it is... now that was another problem. Love the channel, keep the hard work up mate

@nourjouini803

I am studying to become a software engineer and this video has given me the motivation to ace my linear algebra course , I can't stress enough how this video has made me fall in love with what I'm studying and it's applications . This truly has opened my eyes to how amazing and useful the understandding of mathematical concepts is to our lives . Thank you so much for this breathtaking content.

@danwroy

The opening of this video nails it. I didn't understand the point of matrices and when they got to the multiplication system I gave up.