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Make sagecells html only #970

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4 changes: 2 additions & 2 deletions source/linear-algebra/source/01-LE/02.ptx
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Expand Up @@ -859,9 +859,9 @@ rref(A)
</task>
</activity>

<sage language="octave">
<sage language="octave" component="html">
</sage>
<sage language="octave">
<sage language="octave" component="html">
<input>
format rat

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8 changes: 4 additions & 4 deletions source/linear-algebra/source/01-LE/03.ptx
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Expand Up @@ -111,7 +111,7 @@ How many solutions must this system have?
</task>
</activity>

<sage language="octave">
<sage language="octave" component="html">
<input>
A = [ 3 -2 13 6
2 -2 10 2
Expand Down Expand Up @@ -182,7 +182,7 @@ How many solutions must this system have?
</task>
</activity>

<sage language="octave">
<sage language="octave" component="html">
<input>rref([3,-2,13,6;2,-2,10,2;-1,0,-3,1;3,7,0,-2])</input>
</sage>

Expand Down Expand Up @@ -251,7 +251,7 @@ How many solutions must this system have?
</task>
</activity>

<sage language="octave">
<sage language="octave" component="html">
</sage>

<fact xml:id="LE3-fact-scenarios">
Expand Down Expand Up @@ -399,7 +399,7 @@ different solutions. We'll learn how to find such solution sets in
</task>
</activity>

<sage language="octave">
<sage language="octave" component="html">
</sage>
</subsection>

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2 changes: 1 addition & 1 deletion source/linear-algebra/source/01-LE/04.ptx
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Expand Up @@ -188,7 +188,7 @@ in the following set-builder notation.
</task>
</activity>

<sage language="octave">
<sage language="octave" component="html">
</sage>


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35 changes: 23 additions & 12 deletions source/linear-algebra/source/02-EV/01.ptx
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Expand Up @@ -182,7 +182,7 @@ we refer to this real number as a <term>scalar</term>.
</p>
</task>
<task>
<p>
<p component="html">
Correct the SageMath code cell below to generate
an illustration of several vectors belonging to
<me>\vspan\left\{\left[\begin{array}{c}1\\2\end{array}\right],
Expand All @@ -191,43 +191,53 @@ we refer to this real number as a <term>scalar</term>.
b\left[\begin{array}{c}-1\\1\end{array}\right]}{a, b \in \IR}</me>
in the <m>xy</m> plane.
</p>
<sage>
<sage component="html">
<input>
<xi:include href="./code/ev1-planar-span.sage" parse="text" />
</input>
</sage>
<p>
<p component="html">
Based on this illustration, which of these geometrical objects
best describes the span of these two vectors?
</p>
<p component="print">
Which of these geometrical objects
best describes the span of these two vectors?
</p>
<ol marker="A." cols="4">
<li>A line</li>
<li>A plane</li>
<li>A parabola</li>
<li>A circle</li>
</ol>
</p>
</task>
</activity>

<activity estimated-time='5'>
<statement>
<p>
<p component="html">
Sketch a representation of all the vectors belonging to
<m>\vspan\left\{\left[\begin{array}{c}6\\-4\end{array}\right],
\left[\begin{array}{c}-3\\2\end{array}\right]\right\}</m>
in the <m>xy</m> plane, or adapt the code in the previous
activity to illustrate this span.
</p>
<p component="print">
Sketch a representation of all the vectors belonging to
<m>\vspan\left\{\left[\begin{array}{c}6\\-4\end{array}\right],
\left[\begin{array}{c}-3\\2\end{array}\right]\right\}</m>
in the <m>xy</m> plane.
</p>
<p>
Which of these geometrical objects
best describes the span of these two vectors?
<ol marker="A.">
</p>
<ol marker="A." cols="4">
<li>A line</li>
<li>A plane</li>
<li>A parabola</li>
<li>A cube</li>
</ol>
</p>
</statement>
</activity>

Expand Down Expand Up @@ -286,7 +296,7 @@ x_3\left[\begin{array}{c}1\\0\\-3\end{array}\right]=0</m>
</task>
</activity>

<sage language="octave"/>
<sage language="octave" component="html"/>

<observation>
<p>
Expand Down Expand Up @@ -351,7 +361,7 @@ The following are all equivalent statements:
</answer> -->
</activity>

<sage language="octave"/>
<sage language="octave" component="html"/>

<activity estimated-time="10">
<introduction>
Expand All @@ -376,7 +386,7 @@ The following are all equivalent statements:
</answer> -->
</activity>

<sage language="octave"/>
<sage language="octave" component="html"/>

<!-- <activity estimated-time='10'>
<introduction>
Expand Down Expand Up @@ -497,10 +507,11 @@ b\left[\begin{array}{c} 1 \\ 2 \\ 1 \end{array}\right]
a,b\in\IR
}
</me>
is a set containing infinitely-many vectors. See the below
is a set containing infinitely-many vectors. </p>
<p component="html">See the below
Sage cell for an illustration.
</p>
<sage language="sage">
<sage language="sage" component="html">
<input>
<xi:include href="./code/ev1-remark-span.sage" parse="text" />
</input>
Expand Down
72 changes: 5 additions & 67 deletions source/linear-algebra/source/02-EV/02.ptx
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Expand Up @@ -205,7 +205,7 @@ since <m>\IR^1=\setBuilder{cx}{c\in\IR}</m>.
<m>\vspan\left\{\left[\begin{array}{c}1\\-1\\0\end{array}\right],
\left[\begin{array}{c}-2\\0\\1\end{array}\right],\left[\begin{array}{c}-2\\-2\\2\end{array}\right]\right\}</m>.
</p>
<sage language="octave">
<sage language="octave" component="html">
</sage>
</statement>
<answer>
Expand Down Expand Up @@ -237,7 +237,7 @@ vector can't fail to belong.
<m>\vspan\left\{\left[\begin{array}{c}1\\-1\\0\end{array}\right],
\left[\begin{array}{c}-2\\0\\1\end{array}\right],\left[\begin{array}{c}-2\\-2\\2\end{array}\right]\right\}</m>.
</p>
<sage language="octave">
<sage language="octave" component="html">
</sage>
</statement>
<answer>
Expand All @@ -253,7 +253,7 @@ The vector belongs to the span.
<m>\vspan\left\{\left[\begin{array}{c}1\\-1\\0\end{array}\right],
\left[\begin{array}{c}-2\\0\\1\end{array}\right],\left[\begin{array}{c}-2\\-2\\2\end{array}\right]\right\}</m>.
</p>
<sage language="octave">
<sage language="octave" component="html">
</sage>
</statement>
<answer>
Expand All @@ -262,7 +262,7 @@ The vector does not belong to the span.
</p>
</answer>
</task>
<task>
<task component="html">
<statement>
<p>
Fix the SageMath code below to visualize
Expand Down Expand Up @@ -392,72 +392,10 @@ D.
</p>
</task>
</activity>
<sage language="octave">
</sage>


<!-- <activity estimated-time='10'>
<introduction>
<p>
Consider the set of third-degree polynomials
<md>
<mrow>
S=\{
&amp;2x^3+3x^2-1,
2x^3+3,
3x^3+13x^2+7x+16,
</mrow>
<mrow>
&amp;-x^3+10x^2+7x+14,
4x^3+3x^2+2 \} .
</mrow>
</md>
and the question
<q>
Does
<m>\P_3=\vspan S</m>?
</q>
</p>
</introduction>
<task><p>Rewrite this question to be about the solutions to a polynomial equation.
</p>
</task>
<task>
<p>
Answer your new question, and use this to answer the original question.
</p>
</task>
</activity>
<sage language="octave">
<sage language="octave" component="html">
</sage>


<activity estimated-time='5'>
<introduction>
<p>
Consider the set of matrices
<me> S = \left\{
\left[\begin{array}{cc} 1 &amp; 3 \\ 0 &amp; 1 \end{array}\right],
\left[\begin{array}{cc} 1 &amp; -1 \\ 1 &amp; 0 \end{array}\right],
\left[\begin{array}{cc} 1 &amp; 0 \\ 0 &amp; 2 \end{array}\right]
\right\} </me>
and the question <q>Does <m>M_{2,2} = \vspan S</m>?</q>
</p>
</introduction>
<task>
<p>
Rewrite this as a question about the solutions to a matrix equation.
</p>
</task>
<task>
<p>
Answer your new question, and use this to answer the original question.
</p>
</task>
</activity>
<sage language="octave">
</sage> -->


<activity estimated-time='5'>
<statement>
Expand Down
28 changes: 3 additions & 25 deletions source/linear-algebra/source/02-EV/04.ptx
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Expand Up @@ -319,7 +319,7 @@ which isn't what was asked about.
</task>
</activity>

<sage language="octave">
<sage language="octave" component="html">
</sage>

<fact>
Expand Down Expand Up @@ -369,7 +369,7 @@ which isn't what was asked about.
</statement>
</activity>

<sage language="octave">
<sage language="octave" component="html">
</sage>


Expand Down Expand Up @@ -431,7 +431,7 @@ which isn't what was asked about.
</task>
</activity>

<sage language="octave">
<sage language="octave" component="html">
</sage>

<observation xml:id="def_of_LI">
Expand Down Expand Up @@ -474,28 +474,6 @@ which isn't what was asked about.
</p>
</observation>

<!-- <activity estimated-time='10'>
<introduction>
<p>
Consider whether the set of polynomials <m>\left\{
x^3+1,x^2+2x,x^2+7x+4
\right\}</m> is linearly dependent or linearly independent.
</p>
</introduction>
<task>
<p>
Reinterpret this question as an appropriate question about solutions to a polynomial equation.
</p>
</task>
<task>
<p>
Use the solution to this question to answer the original question.
</p>
</task>
</activity>

<sage language="octave">
</sage> -->

<activity estimated-time='5'>
<statement>
Expand Down
2 changes: 1 addition & 1 deletion source/linear-algebra/source/02-EV/05.ptx
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Expand Up @@ -520,7 +520,7 @@ Not a basis, because not only does it fail to span <m>\IR^4</m>, it's also linea
</task>
</activity>

<sage language="octave">
<sage language="octave" component="html">
</sage>

<activity estimated-time='10'>
Expand Down
2 changes: 1 addition & 1 deletion source/linear-algebra/source/02-EV/06.ptx
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Expand Up @@ -204,7 +204,7 @@ T=\left\{
</task>
</activity>

<sage language="octave">
<sage language="octave" component="html">
</sage>

<observation>
Expand Down
8 changes: 4 additions & 4 deletions source/linear-algebra/source/02-EV/07.ptx
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Expand Up @@ -196,7 +196,7 @@ is already linearly independent and therefore already a basis for the subspace.



<sage language="octave">
<sage language="octave" component="html">
</sage>
<activity estimated-time='10'>
<introduction>
Expand Down Expand Up @@ -238,7 +238,7 @@ Find a basis for this solution space.
</activity>


<sage language="octave">
<sage language="octave" component="html">
<input>
</input>
</sage>
Expand Down Expand Up @@ -327,7 +327,7 @@ vector cannot be independent.
</task>
</activity>

<sage language="octave">
<sage language="octave" component="html">
</sage>


Expand Down Expand Up @@ -373,7 +373,7 @@ shape of the data that gets projected onto this single point of the screen?
</answer>
</task>
</activity>
<sage language="octave">
<sage language="octave" component="html">
</sage>


Expand Down
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