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      <title>Module 7: Connecting Algebra and Geometry  by Elsie Paulsen</title>
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      <description>Elsie Paulsen</description>
      <language>en-us</language>
      <pubDate>2017-03-15 16:10:26 UTC</pubDate>
      <lastBuildDate>2024-03-21 21:42:46 UTC</lastBuildDate>
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         <title>Vocabulary</title>
         <author>paulsene3227</author>
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         <description><![CDATA[<div>Vector: an object that has both a magnitude and a direction<br>Transformation Notation: an equation that compares the difference between another equation which shows a vertical translation<br>Magnitude: the size or quantity of a vector<br>Inverse: opposite effect of another operation<br>Determinant: a useful value that can be computed from the elements of a square matrix</div>]]></description>
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         <pubDate>2017-03-15 16:17:51 UTC</pubDate>
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         <title>Formulas</title>
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         <description><![CDATA[<div>f(x)=g(x)+k     shifts up<br>f(x)=g(x)-k      shifts down<br>f(x)=g(x+k)     shifts left<br>f(x)=g(x-k)      shifts right<br>f(x)=-g(x)        reflections across x-axis<br>f(x)=g(-x)        reflection across y-axis<br>f(x)=kg(x)       stretch vertically<br>f(x)=g(kx)       shrink horizontally<br>[a   b]<br>[c   d] = ad-bc= the determinant<br>1/the determinant x [d   -b]<br>                                    [-c   a]</div>]]></description>
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         <pubDate>2017-03-15 16:24:48 UTC</pubDate>
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         <title>New concepts</title>
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         <description><![CDATA[<div><strong>Finding the determinant: U</strong>se the formula, see formula section, and plug in the corresponding numbers.<br><strong>Adding vectors: </strong>Add the first point of the two vectors and then add the seond point of the two vectors. If you are graphing then line up the vectors where the first ends and the second begins. <br><strong>Subtracting vectors:</strong> Do the same as adding vectors but subtract the two numbers instead. If you are graphing, make the seond vector fafce the opposite direction. <br><strong>Set up a matrix into equation form:</strong> Look at the top row of the matrix and make that your first equestion. The first number goes with x and the second number goes with y. Do the same from your second row. What the equation is equal two should come from the last matrix.<br><strong>Multiplication Inverse:</strong> Use your original matrix, the inverse matrix, and the single 2x1 matrix. Put them in this order: inverse matrix x orginal matrix = inverse matrix x 2x1 matrix<br><br></div>]]></description>
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         <pubDate>2017-03-21 02:41:57 UTC</pubDate>
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         <title>Video</title>
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         <pubDate>2017-03-21 03:06:44 UTC</pubDate>
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         <title>Picture</title>
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         <pubDate>2017-03-21 03:07:57 UTC</pubDate>
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         <title>Example Problem</title>
         <author>paulsene3227</author>
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         <pubDate>2017-03-21 03:08:48 UTC</pubDate>
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