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      <title>Any three vectors in two-dimensional space are dependent.</title>
      <link>https://pgadey.ca/office-camera/2025-04-09t10c46c27-04c00/</link>
      <pubDate>Wed, 09 Apr 2025 10:46:27 -0400</pubDate>
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      <title>Geometric and Algebraic Multiplicity Part 2</title>
      <link>https://pgadey.ca/office-camera/2025-04-07t11c47c18-04c00/</link>
      <pubDate>Mon, 07 Apr 2025 11:47:18 -0400</pubDate>
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      <title>Geometric and Algebraic Multiplicity Part 1</title>
      <link>https://pgadey.ca/office-camera/2025-04-07t11c42c40-04c00/</link>
      <pubDate>Mon, 07 Apr 2025 11:42:40 -0400</pubDate>
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      <title>Distinct Eigenvalues Proof</title>
      <link>https://pgadey.ca/office-camera/2025-04-03t16c30c04-04c00/</link>
      <pubDate>Thu, 03 Apr 2025 16:30:04 -0400</pubDate>
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      <title>Diagonalization of 2x2</title>
      <link>https://pgadey.ca/office-camera/2025-04-02t15c46c05-04c00/</link>
      <pubDate>Wed, 02 Apr 2025 15:46:05 -0400</pubDate>
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      <description>&lt;p&gt;&lt;img src=&#34;https://pgadey.ca/images/office-camera/2025-04-02T15:46:05-04:00.jpeg&#34; alt=&#34;A photo of a whiteboard titled: Diagonalization of 2x2&#34; title=&#34;Diagonalization of 2x2&#34;&gt;&lt;/p&gt;&#xA;&lt;p&gt;Diagonalizing the matrix:&#xA;\[&#xA;\begin{bmatrix}&#xA;1 &amp;amp; 2\&#xA;2 &amp;amp; 1&#xA;\end{bmatrix}&#xA;\]&lt;/p&gt;</description>
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      <title>Extending a Indep Set to a Basis</title>
      <link>https://pgadey.ca/office-camera/2025-03-20t13c50c04-04c00/</link>
      <pubDate>Thu, 20 Mar 2025 13:50:04 -0400</pubDate>
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      <title>A22: Colourful Basis of a Linear Transformation</title>
      <link>https://pgadey.ca/office-camera/2025-03-05t15c43c08-05c00/</link>
      <pubDate>Wed, 05 Mar 2025 15:43:08 -0500</pubDate>
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      <title>A System with a Particular Solution Set</title>
      <link>https://pgadey.ca/office-camera/2023-02-02t09c40c33-05c00/</link>
      <pubDate>Thu, 02 Feb 2023 09:40:33 -0500</pubDate>
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      <description>&lt;p&gt;&lt;img src=&#34;https://pgadey.ca/images/office-camera/2023-02-02T09:40:33-05:00.jpeg&#34; alt=&#34;A photo of a whiteboard titled: A System with a Particular Solution Set&#34; title=&#34;A System with a Particular Solution Set&#34;&gt;&lt;/p&gt;&#xA;&lt;p&gt;We find a linear system with solution set $\operatorname{Span}({ (1,0,2,3), (0,1,4,5)})$.&lt;/p&gt;</description>
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