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Lecture 01 The Geometry of Linear Equations

n linear equations, n unknowns

  • row picture
  • column picture
  • matrix form

$$ \begin{cases} 2x - y = 0 \ -x + 2y = 3 \end{cases} $$ Row Picture

<iframe scrolling="no" title="Row picture" src="https://www.geogebra.org/material/iframe/id/barfggqy/width/1536/height/690/border/888888/sfsb/true/smb/false/stb/false/stbh/false/ai/false/asb/false/sri/false/rc/false/ld/false/sdz/false/ctl/false" width="1536px" height="690px" style="border:0px;"> </iframe>

Column Picture

<iframe scrolling="no" title="Column picture" src="https://www.geogebra.org/material/iframe/id/twzn2dwj/width/1522/height/590/border/888888/sfsb/true/smb/false/stb/false/stbh/false/ai/false/asb/false/sri/false/rc/false/ld/false/sdz/false/ctl/false" width="1522px" height="590px" style="border:0px;"> </iframe>

Matrix Form

<iframe scrolling="no" title="Matrix Form" src="https://www.geogebra.org/material/iframe/id/u5wn4pkn/width/1536/height/722/border/888888/sfsb/true/smb/false/stb/false/stbh/false/ai/false/asb/false/sri/false/rc/false/ld/false/sdz/false/ctl/false" width="1536px" height="722px" style="border:0px;"> </iframe>