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added code cells to 2.6.4 #605

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Feb 15, 2025
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46 changes: 46 additions & 0 deletions source/linear-algebra/source/02-EV/06.ptx
Original file line number Diff line number Diff line change
Expand Up @@ -111,13 +111,44 @@ Given a matrix <m>M</m>
Is <m>\left[\begin{array}{c}2\\1\\3\end{array}\right]</m> in the column space of <m>M</m>?
Is it in the row space of <m>M</m>?
</p>
<ol marker="A.">
<li>
<p>
Yes.
</p>
</li>
<li>
<p>
No.
</p>
</li>
</ol>
<sage language="octave">
<input></input>
</sage>
</task>
<task>
<p>
Is <m>\left[\begin{array}{c}1\\10\\-3\end{array}\right]</m> in the column space of <m>M</m>?
Is it in the row space of <m>M</m>?
</p>
<ol marker="A.">
<li>
<p>
Yes.
</p>
</li>
<li>
<p>
No.
</p>
</li>
</ol>
<sage language="octave">
<input></input>
</sage>
</task>

</p>
</statement>
</activity>
Expand All @@ -128,6 +159,21 @@ Given a matrix <m>M</m>
</me>
Are the row space and column space of <m>M</m> both equal to <m>\mathbb{R}^3</m>?
</p>
<ol marker="A.">
<li>
<p>
Yes.
</p>
</li>
<li>
<p>
No.
</p>
</li>
</ol>
<sage language="octave">
<input></input>
</sage>
</statement>
</activity>
<definition>
Expand Down