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Science Forum Forum Index » Mathematics » Ti-83 Calculator... Matrices with polynomial coefficients..?

  
 Ti-83 Calculator... Matrices with polynomial coefficients..? « View previous topic :: View next topic » 
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iamkennyk
Posted: Sat May 03, 2008 7:42 pm    Post subject: Ti-83 Calculator... Matrices with polynomial coefficients..? Reply with quote

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Is there a program for the ti-83 that can solve systems of equations with polynomial coefficients? Or anyway to create and manipulate matrices that contain polynomial coefficients?

I am using Cramer's rule to solve systems of differential equations in Laplace space. So, almost all of the coefficients contain an unknown complex number 's'. With 3 or more equations, this becomes rather cumbersome to do by hand.

Yes, this can easily be done in Mathematica or Matlab, but I can only use a Ti-83.
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Chemboy
Posted: Sun May 04, 2008 7:26 pm    Post subject: Reply with quote

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To my knowledge the TI-83 isn't able to do anything like that, at least not with its standard features.
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Chemboy
Posted: Sun May 04, 2008 7:27 pm    Post subject: Reply with quote

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Whoa, sorry about that, my computer was acting weird.
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Last edited by Chemboy on Mon May 05, 2008 2:19 pm; edited 1 time in total
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Chemboy
Posted: Sun May 04, 2008 7:28 pm    Post subject: Reply with quote

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ditto. Mods, delete these last two if you get a chance...
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Last edited by Chemboy on Mon May 05, 2008 2:20 pm; edited 1 time in total
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serpicojr
Posted: Sun May 04, 2008 8:28 pm    Post subject: Reply with quote

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You can definitely do this, but it would involve some programming. Hopefully you can upload stuff to your calculator from your computer--the code itself shouldn't be too hard, but typing it on your calculator would be a real pain. You can represent matrices as strings of numbers. Addition is easy, multiplication only slightly harder. The hardest thing would be the division algorithm, i.e. something that does polynomial long division for you. You'd also likely need the Euclidean algorithm, but this is just a hop, skip and a jump away from the division algorithm. I bet you can find the relevant code somewhere on the net.
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iamkennyk
Posted: Wed May 07, 2008 10:02 pm    Post subject: Reply with quote

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Yea I was thinking I could easily write a program to perform this.. but like you said, I will Not be typing into my Ti-83. I guess I'll just stick to doing them the fun way
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