The applications of eigenvectors and eigenvalues | That thing you heard in Endgame has other uses 

What about graph theory?

also zombies

Imgay Asheck that can somewhat fall under linear algebra since there’s matrix multiplication involved

I'm soooooo confused 🤪

@@imgayasheck595 Graph Theory is more or less a part of Linear Algebra, since a graph can be represented as a matrix

Same

You should also know Mathologer.

How's the progress going on, Shama ji?

It's a bit sad because you need someone (other than yourself) to cultivate curiosity towards math

sana ol nakapag masteral

🤩 I just got my Masters. 😂

@@jj74qformerlyjailbreak3 nice

@@cruzmarco6048 Nothing but ❤️ my friend. 👍

Chi chi would be proud

Autovectores y autovalores se suele usar en los libros de texto en español también

This is very true. In physics, and especially in Quantum Mechanics we use eigenvectors/values all the time. It's really fundamental - but my course (many, many years ago) never once covered what they are geometrically or even in some depth mathematically. They were simply presented as a series of algebraic manipulations of arrays of numbers to get 'the answer'. To this day, even though I can calculate the probability amplitude of spin states of electrons (for example) I haven't the faintest idea why this model works as it does and how it came to be invented in the first place.

Dude what a donation! Seriously appreciate it and hope you go pursue those interests and passions, best of luck!

Since we talked about the google page rank algorithm it seems fit to tell you that your exam probably caused you to be here :)

Sukalyan Roy truf

School isn't killing interest in sciences. It just fails to keep up/compete with the insane amount of interactive, appealing and sometimes addictive content available online.

Daily life is THE perpetual school of sciences, be it material science (build a house, make a dress), math science (budget, electricity), language science (talk to your neighbor of dissimilar roots) or history science (voting), and only peer pressure is killing interest in being interested, therefore you, alone, are responsible for keeping your interests alive. I'm sure you will go far, maybe one day you will be in a position to direct the interests of other, to catch someone who is falling to peer pressure and show them the benefit of joining you in the journey.

@@b_kind force-feeding subjects instead of giving insights about applications is a frequently complained part of schools though, even on subjects that are very useful. That probably contributed to the "killing"

You said it, I can say first-hand that my highschool is ruining science and especially math for the majority of students, it's truly a shame

I don't know bro, you gotta do a lot of exercises haha

I am not in college, but videos like this is rekindling my interest in mathematics, which I love more than crosswords.

@@BooyahLThat's true, but most of the concepts you can find here on youtube, even some applications/projects and advanced exercises. I know it doesn't replace a real engineering course, but there are so many things that you find here on youtube that if you had a guide of what to study next, you would have a pretty good idea of what is a engineering course.

@@RM-zx9ee And if you just start zooming around Wikipedia pages on math, you could learn a lot... more than you could possible absorb all of.

I used to think that too but lately I’ve changed my stance. Learning is iterative and I think what makes videos like these so good is normally because this isn’t your first pass over the subject

(+newdhia hassen) Got it. Kind of like curl.

Thanks, that was helpful. :)

I was thinking in similar lines since the imaginary plane is just the other plane of physical value that affects the current observed value we are dealing with. it's just in a different plane. Nice one.

oooh

That's a nice interpretation.

So true. I feel the exact same way. I wish math classes would include more material on application.

Why are you studying maths if this is a question you care about?

@@SpaghettiToaster I'm a computer science major, and this is a requirement. If I wanted to study something for it's inherent beauty, I'm be a liberal arts major.

@The Thunderblade Damn dude, I was joking, but where at all did I say say anything approaching "what is maths?" Regardless of the subject, a student's going to grasp the material better with some understanding of context. For example, Mondrian's famous abstract art seems pretty simple if you see it out of context (you know, the ones with the thick black lines and geometric shapes in primary colors), but when you appreciate what the guy was able to do earlier in his career, and why he chose to go abstract instead, it lends a better understanding of why his art is so impactful. Check it out, I have no problem with learning advanced maths. My issue arises when I, along with a good chunk of my class, were asking in good faith, "what do these numbers we're coming up with mean?" I get that there are people who enjoy doing math just to see the formulae churn out answers, as that's who my LA professor was, but it's not me. This guy was teaching at a superficial level of just showing us various techniques without bothering to give us any insight into the larger implications of what the math meant, and it made the course more of a headache than it needed to be. Maybe go talk to someone about unleashing that kind of hostility on a total stranger, though. Can't be good for you to carry around that level of vitriol.

@@SpaghettiToaster I thought the question quite valid and mirrored my own when reflecting upon how and why the curriculum I followed was created. There must have been a perceived context within which what was to be taught was decided. As an example, although I did Linear Algebra we didn't touch upon Eigen 'stuff', however in a Numerical Analysis we were shown how to calculate the eigenvalues of n-dimensional matrices. I did wonder why. It was only after I graduated and taught myself Quantum Mechanics, starting with The Copenhagen interpretation that I came across Eigen 'stuff' and the penny dropped as to why. Mathematics in and of itself is beautiful but in a course created by a random subset of planetary mathematicians it can be useful to know the why because that hints towards the collective understanding of the Department's research staff and 'the arrow' of their vision. One always be brave enough to ask 'why' and not just settle for being told.

Thanks for the continued support Nick! Glad to keep seeing you in the comments

you weren't ready. And you would have complained anyway.

@@donegal79 Aren't we all not ready for what school is going to teach us? Should we go through the entire textbook before attending the first lesson?

My brother I am from Nigeria's fall system of education so I understand . You don't just feel...you KNOW!

Or maybe they could be able to inspire their students without the help of a youtuber, on account of being salaried professionals?

Glad you liked it!