anonymous
  • anonymous
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?
Algebra
chestercat
  • chestercat
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

UsukiDoll
  • UsukiDoll
well according to my math major checklist sheet Linear Algebra is under computer science.
Astrophysics
  • Astrophysics
What is OCW? I have to review some linear algebra myself...been too long since I took it.
yamyam70
  • yamyam70
leaving comment for answer (also taking up linear algebra, philippines)

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
I meant mit open course ware
Astrophysics
  • Astrophysics
Matrices 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?
ganeshie8
  • ganeshie8
Astrophysics
  • Astrophysics
I was going to tag @Empty but I thought he was too busy xD
yamyam70
  • yamyam70
I think its kinda related to systems of linear equations.
UsukiDoll
  • UsukiDoll
I've heard of mit open course ware... I think dan recommended it to me for pdes or something I can't remember
Astrophysics
  • Astrophysics
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-1-the-geometry-of-linear-equations/
Empty
  • Empty
Matrices 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
  • Astrophysics
Well said, awesome and inspiring as always!
anonymous
  • anonymous
Yes was really helpful
Empty
  • Empty
@hamid.rajabi I can answer any questions you have if you want some more specific examples on certain things. :)
Astrophysics
  • Astrophysics
How does calculus and linear algebra relate to each other? Like cross products kind of stuff, jacobians?
anonymous
  • anonymous
:-) thanks alot. These matrices really got something in them. and I have seen them inso many engineering applications
Michele_Laino
  • Michele_Laino
a matrix represents some linear function between vector spaces
Empty
  • Empty
Yeah, I am specifically thinking of Jacobians, vector calculus, and tensor calculus.
anonymous
  • anonymous
In mit lectures professor strang says that we use 'too much calculus'. He is kinda against excessive use of calculus
Astrophysics
  • Astrophysics
Ah 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
  • Empty
I 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
  • anonymous
Astrophysics
  • Astrophysics
Haha, 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
  • anonymous
Matrices 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
  • DanJS
Good old Gilbert Strang... I watched those videos too when i took that class, helped out a bunch.
anonymous
  • anonymous
@DanJS yeah man he's great. where did you study? Mit?

Looking for something else?

Not the answer you are looking for? Search for more explanations.