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Add titles to reading questions for Chapter M (PR #102)
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Tanaquil18 authored and rbeezer committed Jul 4, 2022
1 parent a7ed7fb commit 743cbb0
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3 changes: 3 additions & 0 deletions src2/section-CRS.xml
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</subsection>
<reading-questions xml:id="readingquestions-CRS">
<exercise xml:id="reading-CRS-1">
<title>Span of a column space</title>
<statement>
<p>Write the column space of the matrix below as the span of a set of three vectors and explain your choice of method.<me>\begin{bmatrix}
1 &amp; 3 &amp; 1 &amp; 3\\
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</statement>
</exercise>
<exercise xml:id="reading-CRS-2">
<title>Column space of a nonsingular matrix</title>
<statement>
<p>Suppose that <m>A</m> is an <m>n\times n</m> nonsingular matrix. What can you say about its column space?</p>
</statement>
</exercise>
<exercise xml:id="reading-CRS-3">
<title>Vector in row space?</title>
<statement>
<p> Is the vector <m>\colvector{0\\5\\2\\3}</m> in the row space of the following matrix? Why or why not?<me>\begin{bmatrix}
1 &amp; 3 &amp; 1 &amp; 3\\
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3 changes: 3 additions & 0 deletions src2/section-FS.xml
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</subsection>
<reading-questions xml:id="readingquestions-FS">
<exercise xml:id="reading-FS-1">
<title>Calculate element of left null space</title>
<statement>
<p>Find a nontrivial element of the left null space of <m>A</m>.<me>A=
\begin{bmatrix}
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</statement>
</exercise>
<exercise xml:id="reading-FS-2">
<title>Calculate parts of extended echelon form</title>
<statement>
<p>Find the matrices <m>C</m> and <m>L</m> in the extended echelon form of <m>A</m>.<me>A=
\begin{bmatrix}
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</statement>
</exercise>
<exercise xml:id="reading-FS-3">
<title>Significance of Theorem FS</title>
<statement>
<p> Why is <xref ref="theorem-FS" acro="FS"/> a great conclusion to <xref ref="chapter-M" acro="M"/>?</p>
</statement>
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3 changes: 3 additions & 0 deletions src2/section-MINM.xml
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</subsection>
<reading-questions xml:id="readingquestions-MINM">
<exercise xml:id="reading-MINM-1">
<title>Calculate inverse, solve system</title>
<statement>
<p>Compute the inverse of the coefficient matrix of the system of equations below and use the inverse to solve the system.<md>
<mrow>4x_1 + 10x_2 &amp;= 12</mrow>
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</statement>
</exercise>
<exercise xml:id="reading-MINM-2">
<title>Inverse doesn't exist</title>
<statement>
<p>In the reading questions for <xref ref="section-MISLE" acro="MISLE"/> you were asked to find the inverse of the <m>3\times 3</m> matrix below.<me>\begin{bmatrix}
2 &amp; 3 &amp; 1\\
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</statement>
</exercise>
<exercise xml:id="reading-MINM-3">
<title>Unitary or not</title>
<statement>
<p>Is the matrix <m>A</m> unitary? Why?<me>A=\begin{bmatrix}
\frac{1}{\sqrt{22}}\left(4+2i\right) &amp; \frac{1}{\sqrt{374}}\left(5+3i\right) \\
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3 changes: 3 additions & 0 deletions src2/section-MISLE.xml
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<!-- End misle.tex -->
<reading-questions xml:id="readingquestions-MISLE">
<exercise xml:id="reading-MISLE-1">
<title>Calculate inverse of a <m>2\times 2</m> matrix</title>
<statement>
<p>Compute the inverse of the matrix below.<me>\begin{bmatrix}
-2 &amp; 3\\
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</statement>
</exercise>
<exercise xml:id="reading-MISLE-2">
<title>Calculate inverse of a <m>3\times 3</m> matrix</title>
<statement>
<p>Compute the inverse of the matrix below.<me>\begin{bmatrix}
2 &amp; 3 &amp; 1\\
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</statement>
</exercise>
<exercise xml:id="reading-MISLE-3">
<title>Title of Theorem SS</title>
<statement>
<p> Explain why <xref ref="theorem-SS" acro="SS"/> has the title it does. (Do not just state the theorem, explain the choice of the title making reference to the theorem itself.)</p>
</statement>
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3 changes: 3 additions & 0 deletions src2/section-MM.xml
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</subsection>
<reading-questions xml:id="readingquestions-MM">
<exercise xml:id="reading-MM-1">
<title>Matrix-vector product</title>
<statement>
<p>Form the matrix-vector product of<md>
<mrow>\begin{bmatrix}
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</statement>
</exercise>
<exercise xml:id="reading-MM-2">
<title>Calculate product of two matrices</title>
<statement>
<p> Multiply together the two matrices below (in the order given).<md>
<mrow>\begin{bmatrix}
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</statement>
</exercise>
<exercise xml:id="reading-MM-3">
<title>Matrix-vector product form of a linear system</title>
<statement>
<p>Rewrite the system of linear equations below as a vector equality and using a matrix-vector product. (This question does not ask for a solution to the system. But it does ask you to express the system of equations in a new form using tools from this section.)<md>
<mrow>2x_1 + 3x_2 - x_3 &amp;= 0</mrow>
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3 changes: 3 additions & 0 deletions src2/section-MO.xml
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</subsection>
<reading-questions xml:id="readingquestions-MO">
<exercise xml:id="reading-MO-1">
<title>Calculate sum and scalar mult of matrices</title>
<statement>
<p>Perform the following matrix computation.<me>(6)
\begin{bmatrix}
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</statement>
</exercise>
<exercise xml:id="reading-MO-2">
<title>Vector space of matrices</title>
<statement>
<p><xref ref="theorem-VSPM" acro="VSPM"/> reminds you of what previous theorem? How strong is the similarity?</p>
</statement>
</exercise>
<exercise xml:id="reading-MO-3">
<title>Calculate transpose</title>
<statement>
<p>Compute the transpose of the matrix below.<me>\begin{bmatrix}
6 &amp; 8 &amp; 4 \\
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