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      <title>Module 7: Connecting Algebra and Geometry by Brooklynn Appel</title>
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      <description>By Brooklynn Appel</description>
      <language>en-us</language>
      <pubDate>2017-03-15 16:06:35 UTC</pubDate>
      <lastBuildDate>2025-11-18 21:10:46 UTC</lastBuildDate>
      <webMaster>hello@padlet.com</webMaster>
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         <title>Video</title>
         <author>appelb0110</author>
         <link>https://padlet.com/appelb0110/p47eq6q4l56a/wish/160300034</link>
         <description><![CDATA[<div>This video shows how to find the determinant of a 2x2 matrix.</div>]]></description>
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         <pubDate>2017-03-15 16:10:57 UTC</pubDate>
         <guid>https://padlet.com/appelb0110/p47eq6q4l56a/wish/160300034</guid>
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      <item>
         <title>Vocab</title>
         <author>appelb0110</author>
         <link>https://padlet.com/appelb0110/p47eq6q4l56a/wish/160300224</link>
         <description><![CDATA[<div>transformation notation- an equation that compares the difference between another equation which shows a vertical translation<br>vector- an arrow that has both magnitude (the distance moved) and direction (the direction in which the object is moved)<br>additive identity matrix- a matrix consisting of all zeros that when added to a matrix the resulting matrix is the same as the starting matrix<br>multiplicative identity matrix- a matrix of [1, 0, 0, 1] that when multiplied by a matrix gives the identity of that matrix'<br>determinant- tells you if the matrix has a multiplicative inverse, if the determinant is 0 then the matrix has no identity</div>]]></description>
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         <pubDate>2017-03-15 16:11:35 UTC</pubDate>
         <guid>https://padlet.com/appelb0110/p47eq6q4l56a/wish/160300224</guid>
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         <title>New Formulas</title>
         <author>appelb0110</author>
         <link>https://padlet.com/appelb0110/p47eq6q4l56a/wish/160303608</link>
         <description><![CDATA[<div>Function Transformations:<br>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) reflection 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><br>determinant: ad-bc, tells you if the matrix has a multiplicative inverse<br>multiplicative inverse matrix: 1/ad-bc [d, -b, -c, a], when you multiply this matrix to its matching matrix you get the multiplicative identity matrix</div>]]></description>
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         <pubDate>2017-03-15 16:22:15 UTC</pubDate>
         <guid>https://padlet.com/appelb0110/p47eq6q4l56a/wish/160303608</guid>
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         <title>Example Problem</title>
         <author>appelb0110</author>
         <link>https://padlet.com/appelb0110/p47eq6q4l56a/wish/160306967</link>
         <description><![CDATA[]]></description>
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         <pubDate>2017-03-15 16:31:58 UTC</pubDate>
         <guid>https://padlet.com/appelb0110/p47eq6q4l56a/wish/160306967</guid>
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         <title>New Concepts</title>
         <author>appelb0110</author>
         <link>https://padlet.com/appelb0110/p47eq6q4l56a/wish/160307461</link>
         <description><![CDATA[<div>Solving systems using matrices and an inverse matrix: set up a 2x2 matrix using the x and y values of system of equations and multiply it by the [x, y] matrix to equal the 2x1 matrix containing the values that the system of equations equals, next find the multiplicative inverse matrix and multiply it by the 2x2 matrix so that you have the [x,y] matrix alone, now multiply the multiplicative inverse matrix by the 2x1 system of equations solutions matrix to get the values of x and y</div>]]></description>
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         <pubDate>2017-03-15 16:33:21 UTC</pubDate>
         <guid>https://padlet.com/appelb0110/p47eq6q4l56a/wish/160307461</guid>
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