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lecture_1

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lecture_1 [2016/01/22 18:39] rupertlecture_1 [2016/01/22 19:13] (current) – old revision restored (2015/01/22 12:02) rupert
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-~~REVEAL~~ 
 ====== Chapter 1: Systems of linear equations ====== ====== Chapter 1: Systems of linear equations ======
  
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 ==== First example: a linear equation in two variables ==== ==== First example: a linear equation in two variables ====
  
-Consider the equation 2x+5y=7$.+Consider the equation \[ 2x+5y=7.\]
 This is an equation in two //[[variables]]//, or //[[indeterminates]]//, $x$ and $y$. This is an equation in two //[[variables]]//, or //[[indeterminates]]//, $x$ and $y$.
  
-  * A [[solution]] of this equation is a pair of numbers $(a,b)\in \mathbb{R}^2$ so that if we replace $x$ with $a$ and replace $y$ with $b$, then the equation becomes true+A [[solution]] of this equation is a pair of numbers $(a,b)\in \mathbb{R}^2$ so that if we replace $x$ with $a$ and replace $y$ with $b$, then the equation becomes true.
-  *In other words, so that $2a+5b$ really is equal to $7$.+
  
-=== test subhead ===+In other words, so that $2a+5b$ really is equal to $7$.
  
   * $(3,1)$ is not a solution, because $2\times 3+5\times 1\ne 7$   * $(3,1)$ is not a solution, because $2\times 3+5\times 1\ne 7$
lecture_1.1453487985.txt.gz · Last modified: by rupert

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