January 28th, 2012, 04:40 PM  #1 
Newbie Joined: Apr 2011 Posts: 18 Thanks: 0  setting up a matrix
we did an economy application problem in class, and i just couldn't figure how the teacher got the final form of the system of equations. we had a flow chart diagram that shows the percentage of material, labor, and enegry and how much output and input each category receives. anyways, this was inside my notes: output = input Material = .5M + .5L +.6E Labor = .4M + .3L + .2E Energy = .1M + .2L + .2E then he said something about moving everything to the left and ended up with this: M// .5M  .5L .6E = 0 L// .4M  .7L  .2E = 0 E// .1M  .2L + .8E = 0 so i can't figure out how he got there. he said that .7L was from .4M + .3L which confuse me even more... 
January 28th, 2012, 08:25 PM  #2  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038  Re: setting up a matrix Quote:
Can you post the original problem in full; thank you. Math requires more than "my notes..." and "he said..."  
January 28th, 2012, 08:30 PM  #3 
Member Joined: Nov 2011 Posts: 40 Thanks: 0  Re: setting up a matrix
What i think it is Material = 1M (total) so then Materiel = 1M = 0.5M + 0.5L + 0.6E Taking it all to the left 1M 0.5M 0.5L0.6E = 0 Similarly for labour and Energy Energy = 1.0E (total) Labour = 1.0L (total) that's how he got what he did, hope that helps 
January 29th, 2012, 10:31 AM  #4 
Newbie Joined: Apr 2011 Posts: 18 Thanks: 0  Re: setting up a matrix http://i.imgur.com/uTgbA.jpg http://i.imgur.com/Oqcd9.jpg those are my notes which is what my teacher wrote on the board. the rest is just row reducing it and solving the system of equations. @grayham1990, i too thought he was moving variables to the left, but i don't know where he would get .7L and .8E in the 2nd and 3rd equation. 
January 29th, 2012, 01:25 PM  #5 
Newbie Joined: Apr 2011 Posts: 18 Thanks: 0  Re: setting up a matrix
ok nevermind i've figured it out, sort of ignored the decimals so that's why i couldn't see what was happening 

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