/sci/ - Science & Math

>>9657882
>There are 3 or 4 other ways of solving matrices

All of those are equivalent to Gaussian elimination, especially
>basic elimination/substitution

>>9657882
The operations performed in Gaussian elimination are equivalent multiplying by matrices on the left side.

You can see this in the first example here: http://www.cs.cornell.edu/~bindel/class/cs3220-s12/notes/lec07.pdf

Knowing which matrices you multiplied [math]A[/math] by during row reduction can actually be quite useful and efficient for other tasks involving [math]A[/math]. So, no, other methods (with >>9657885 corectly mentioned are equivalent to Gaussian elimination) are not any faster in most cases.

>>9657882
Does anyone else enjoy doing Gaussian elimination for fun? Like every so often just make up a random set of equations to solve? I'm normally not so autistic about math concepts, and I've moved on to higher level stuff since I first learned about it, but there's something really fun about row reduction

>>9657882
elimination/substitution is generally slower and more error prone, anyone who has solved large systems of equations algebraically can attest to this

>>9657955
it's kind of fun, it's the kind of mindless algorithmic puzzle solving math people tend to like, I like it more than, say, solving weird integrals
but I don't do it for fun