Question

what's in linear algebra beyond solving linear equations?

Answer 1

useless :)

Answer 2

equations

Answer 3

Well, the solving is just the mechanics of it. Most of the value in the class, I'd argue, comes from learning how to represent real-world problems as linear equations. It's sort of like asking if the only thing in a C programming class is learning how to type.

Answer 4

and thats waist of time u wil never use those in ur life

Answer 5

I use linear equations all the time

Answer 6

Among other things, understanding linear algebra matrix algebra is very useful for solving a wide range of ordinary differential equations, which have an incredibly wide range of applications.

Answer 7

oh we learn that linear ? only linear differential equation?

Answer 8

Finite state Markov chains

Answer 9

Multivariate statistical analysis

Answer 10

both are heavy on matrix theory

Answer 11

Computer graphics is almost 100% linear algebra

Answer 12

yeah, because different color can be represent as combination of three vector(red green blue)

Answer 13

Well, I was also thinking because most motion primitives (e.g. translation, rotation) are represented as matrix operations. Also most filters (e.g. gaussian blur).

Answer 14

I did those in assembly

Answer 15

language is orthogonal to the math behind it

Answer 16

i.e. you can do matrix operations in assembly

Answer 17

so are D operator how you solve differential equation by matrices?

Answer 18

You can turn every higher (2nd or higher) order linear ODE into a system of first order equations. The most convenient (and computational amenable) way to deal with them is using matrix algebra: finding eigenvalues/vectors/spaces.

Answer 19

Matrices are also the natural language for representations of other algebraic objects, such as Lie algebras. And Lie algebras are essential in relativistic quantum mechanics, for instance.

Answer 20

Even basic things like changing variables in multivariable integration require matrices and their determinants.

In short, there is an extremely good reason that Linear Algebra is taught in HS and first year university: it comes up all over the place.

Answer 21

oh like jacobian?

Answer 22

yes, the Jacobian.

Answer 23

there are innumerable applications. For example, sensor and signal processing (for robots, for example) relies heavily on linear algebra techniques. Of course, data compression techniques, lots more....

Answer 24

Thank you everyone,

I am just starting learn this stuff. Been watching Strang's Lecture

Answer 25

http://openstudy.com/#/updates/4ee7d8d5e4b023040d4c1e29