Dear linear algebra students, This is what matrices (and matrix manipulation) really look like

rocky voice "I NEEDED YOU 10 YEARS AGO MAN AND NOW YOU WANNA HELP ME?!"

I am amazed at how quickly this got complicated, yet it stayed digestible. The visual graphics complement the numbers and the vocals exquisitely. Great video!

Great insights on linear algebra

i still didn't find where are the matrix tits !

Thank you very much for great explanations and illustrations.

You missed a nice part of using linear matrices with mesh networks. Once you add multiple power sources It's arbitrarily simple to get the augmented matrix into rref and multiply by the inverse identity to verify the value of all the possible loops. However, the visual intuition in 3d is amazing and something I hadn't considered.

Awesome bro

Thanks for making feel like shxxxt.... School is not fun.

currently taking linear algebra 1 rn, midterm is in like 12 hours. This video is actually pretty eye-opening. It's slightly above the scope of my intro level course but it actually really helps my understanding. Thank you for this

First 9 minutes of this video changed my life as a high school student from 12 th grade....

Where tf was this video Fall 2018??!!

Thank God for you, Khan Academy and 3B1B. You guys are single handedly keeping the math students community alive

Very good

I wish I knew this when I was in school, this makes a lot of sense. It’s a shame school teaches linear algebra as an abstract subject

Watched this 3 years ago, actually in linear alg and I finally understand it

If u are having difficulties in understanding linear algebra, watch this video. The guy sumed it up all in 16mins.

is there any way to get the intersection point (i.e. the solution for the equation?) in Reuniter graphing calculator 3d? i downloaded the free version and plotted 3 linear equations, it did show the 3d planes for each x, y and z but i was'nt able to find the exact intersion point of the mentioned planes.

One of the best linear algebra fundamentals ever! you are the best man!

Thank you SO much, I have been struggling with these concepts but after you visualized them, these sub spaces make complete sense to me now. Why do so few textbooks stress the visualization component to linear algebra 🥲

Wonderful Video. Thank you so much. What tool did you use to create the 3D visualizations?

I wish we had these types of graphic explanations in my linear algebra classes

What is the app he used ?

Math can be so simple yet complicated at the same time. Once you visualize it, all makes perfect sense and you wonder why you didn’t grasp it sooner. Looking in your textbooks without these visual insights can be a really terrifying experience!

Can you make a video about subspaces and vector spaces too? Linear Algebra is the hardest topic for me so far

Everyone with a 3d printer is like looking at this video thumbnail thinking like bro you need to get rid of your build plate springs or something.

This is simply brilliant! Thank you.

Kudos to all of you that follow and understand all this stuff in real-time, never having to pause for 5 minutes and think about what was just said. Kudos...but also, you're freaks.

Wow. Just Wow!! I am currently pursuing Master's in Physics, and I have NEVER been taught the fundamental beauty of linear algebra to this extent. Thank you for making this video!

I'm going to be honest it still didn't help... :(

Thank you <3

on my physics exam I got a test question with DC circuits and we had to calculate currents. I've done these type of excersises before, so I started to "show off" a bit by using gaussian ellimination to solve it, while my classmates struggled because they were "afraid" to dwelve into linear algebra, as they barely passed it last semester.
Linear Algebra really is the subject of corelations, and if you understand it properly by the end of your semester, it will open up so many new possibilities to view things for you

WOW WOW WOW
I really enjoyed this video. I loved the way you were combining row space and null space. And also the final exercise with circuits.
I was studying robotic engineering but i changed to mathematics this year and this final example really amazed me.
Also, as a constructive opinion, I didnt really like the color choices made for the video.

Thank you very much!!

I wish they had done that in 1997 when I was bored out of my mind in auditorium during first year of math at university. This is awesome.

Its a crime that using ND modeling is not a standard way of teaching linear algebra.

How to make this animation. Please tell me the name of the software.

This video is like Gilbert Strang with 3D visual tools! Brilliant !!

What uses are there for linear algebra in real life?

Why these 3 equations are bases ?

Could be 3 lines in the space?

Thank you for this. Gifted mathematical minds see this almost automatically, while the rest of us were just solving problems on paper by some rote procedure.

Damned Internet. All I had to learn me this stuff was a pencil and some paper. We didn't need no internet video to 'visualize' anything. We just solved mothereffing equations. Just saying.

I never took a formal linear algebra course, but I still learned all of this piece-meal in my various engineering classes.

You do not start at the start. What are matrices and why use them.