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 December 6th, 2012, 06:59 PM #1 Newbie   Joined: Dec 2012 Posts: 2 Thanks: 0 Gauss Jordan Problem Can someone please show me how the Gauss-Jordan method works? -5x-2y=-7 -15x-6y=-21 The Gauss Jordan method is explained poorly in my book,and i think during that class day i spent the entire time watching monday night football on my laptop (JK)
 December 7th, 2012, 12:55 AM #2 Math Team   Joined: Nov 2010 From: Greece, Thessaloniki Posts: 1,989 Thanks: 133 Math Focus: pre pre pre pre pre pre pre pre pre pre pre pre calculus Re: Gauss Jordan Problem [color=#000000]$\begin{matrix}\fbox{-5}x=&\fbox{-2}y=&\fbox{-7}\\\fbox{-15}x=&\fbox{-6}y=&\fbox{-21}\end{matrix}=$ $\left[\begin{array}{rr|r} -5&-2&-7\\-15&-6&-21\end{array}\right]\;L_{2}\to L_{2}-3L_{1}\sim\left[\begin{array}{rr|r} -5&-2&-7\\0&0&0\end{array}\right]$ which means that the system has infinite solutions of the form $-5x-2y=-7\Leftrightarrow y=\frac{7-5x}{2}\;(*)$ or else that all the solutions belong to the line (*).[/color]
 December 7th, 2012, 06:02 AM #3 Newbie   Joined: Dec 2012 Posts: 2 Thanks: 0 Re: Gauss Jordan Problem ZardoZ...thank you so much...hey i work at a Greek Restaurant OPA!!!!
 December 7th, 2012, 06:04 AM #4 Math Team   Joined: Nov 2010 From: Greece, Thessaloniki Posts: 1,989 Thanks: 133 Math Focus: pre pre pre pre pre pre pre pre pre pre pre pre calculus Re: Gauss Jordan Problem [color=#000000]he he nice!![/color]

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