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What can I use to solve a general matrix? 
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#1
Oct1711, 06:18 PM

P: 146

Hi guys!
I need to solve a matrix. I have 3 equations, 3 unknowns, straightforward stuff. And I know it's invertible (doing transformations for hamiltonian dynamics, so I know they made it invertible). I know my calculator and a ton of websites can easily solve any matrix with real coefficients, but here they are general variables. Does anyone know a good website (or how to do it on the TI83, or TI89) that will do this? For example, solving something like: a*x + b*y = 3 ba*x + 4b*y = 5, finding x and y as functions of a and b. Any good way? Thanks! 


#2
Oct1711, 07:37 PM

P: 2,179

This is of the form M.X = S, so the solution is just [tex]M^{1}.S[/tex] .
Wolfram alpha (http://www.wolframalpha.com) will solve this easily. The syntax is : Inverse[{{a, b}, {a b, 4 b}}].{3,5}//Simplify Try it! 


#3
Oct1811, 02:40 PM

HW Helper
P: 925




#4
Oct1811, 07:14 PM

P: 691

What can I use to solve a general matrix?
Phyzguy recommended wolfram alpha, which is a great option. Maxima is another option, possibly more clunky but I use it the most for computer algebra and arbitrary precision arithmetic:
http://maxima.sourceforge.net/ enjoy, jason 


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