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anonymous
 one year ago
Hey guys, I am learning linear algebra frim OCW and it is really helpful. but the thing that occupies my mind anytime I study this course is that why we use matrices in the first place? What is their actual meaning?
anonymous
 one year ago
Hey guys, I am learning linear algebra frim OCW and it is really helpful. but the thing that occupies my mind anytime I study this course is that why we use matrices in the first place? What is their actual meaning?

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UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0well according to my math major checklist sheet Linear Algebra is under computer science.

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.0What is OCW? I have to review some linear algebra myself...been too long since I took it.

yamyam70
 one year ago
Best ResponseYou've already chosen the best response.0leaving comment for answer (also taking up linear algebra, philippines)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I meant mit open course ware

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.0Matrices are very useful though, especially when dealing with vectors and space...makes everything easier I think @ganeshie8 can explain it better as it's been too long for me. Ooh that sounds great, could you link it if you don't mind?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.0I was going to tag @Empty but I thought he was too busy xD

yamyam70
 one year ago
Best ResponseYou've already chosen the best response.0I think its kinda related to systems of linear equations.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0I've heard of mit open course ware... I think dan recommended it to me for pdes or something I can't remember

Empty
 one year ago
Best ResponseYou've already chosen the best response.3Matrices represent not just systems of equations and vectors. They can represent any sort of geometric manipulation you could want such as rotations, translations, shearing, scaling, and weird stuff, and you can multiply all the translations together to create a single translation which you can then apply onto anything, which ends up being really useful for doing all 3D computer graphics and modelling physics scenarios. You can also use them to create interpolating functions for data, so they are useful especially for interpreting data with a computer. In my mind calculus and linear algebra are the two most important things in mathematics, and the more you learn, the more these two end up becoming the same subject. I have a lot of examples I could show you, but this is basically just an overview. They really only started becoming used in the past 100 years when Heisenberg formulated quantum mechanics with them.

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.0Well said, awesome and inspiring as always!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes was really helpful

Empty
 one year ago
Best ResponseYou've already chosen the best response.3@hamid.rajabi I can answer any questions you have if you want some more specific examples on certain things. :)

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.0How does calculus and linear algebra relate to each other? Like cross products kind of stuff, jacobians?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0:) thanks alot. These matrices really got something in them. and I have seen them inso many engineering applications

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1a matrix represents some linear function between vector spaces

Empty
 one year ago
Best ResponseYou've already chosen the best response.3Yeah, I am specifically thinking of Jacobians, vector calculus, and tensor calculus.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0In mit lectures professor strang says that we use 'too much calculus'. He is kinda against excessive use of calculus

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.0Ah got ya, I've always wanted to see linear algebra in physics problems like I know you can use it for hooke's law, kirchhoff's law, etc. I actually have this one space probe problem in mind I'd like to see, would you mind if I post it here @hamid.rajabi

Empty
 one year ago
Best ResponseYou've already chosen the best response.3I really love Strang's OCW stuff I still go back to it sometimes to review but I think it's best if you really use linear algebra AND calculus, they both work well together. For instance, quadratic form minimization really is something that's a strength of combining both things together.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Its ok @astrophysics

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.0Haha, well I think I'm going to try figuring out the problem first, and if I have problems with it I'll just make a post, thanks for the post though :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Matrices help order stuff, without them some things may look very clustered For example to find the area of a triangle when it's coordinates are given you use a very long and hard to remember formula, but if you represent it as a determinant it is much easier to remember, also determinant can also be used to represent cross product of 2 vectors in a much more neat way

DanJS
 one year ago
Best ResponseYou've already chosen the best response.0Good old Gilbert Strang... I watched those videos too when i took that class, helped out a bunch.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@DanJS yeah man he's great. where did you study? Mit?
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