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4 changes: 2 additions & 2 deletions source/linear-algebra/source/04-MX/03.ptx
Original file line number Diff line number Diff line change
Expand Up @@ -79,7 +79,7 @@
x_2\begin{bmatrix}1\\-1\\1\end{bmatrix}+
x_3\begin{bmatrix}0\\1\\1\end{bmatrix}
</md>
<ol label="A." cols="3">
<ol marker="A." cols="3">
<li><p>Zero</p></li>
<li><p>At most one</p></li>
<li><p>Exactly one</p></li>
Expand All @@ -103,7 +103,7 @@
If <m>\vec x=\left[\begin{array}{c}x_1\\x_2\\x_3\end{array}\right]</m>
and <m>B = \left[\begin{array}{ccc}\vec b_1&amp; \vec b_2&amp;\vec b_3\end{array}\right]=\left[\begin{array}{ccc}1&amp;1&amp;0\\0&amp;-1&amp;1\\1&amp;1&amp;1\end{array}\right]</m>,
which of these matrix equations can be used to find <m>x_1,x_2,x_3</m>?
<ol label="A." cols="3">
<ol marker="A." cols="3">
<li><p><m>\vec v=B\vec x</m></p></li>
<li><p><m>B\vec v=\vec x</m></p></li>
<li><p><m>\vec v=B^{-1}\vec x</m></p></li>
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2 changes: 1 addition & 1 deletion source/linear-algebra/source/future-ON/01.ptx
Original file line number Diff line number Diff line change
Expand Up @@ -23,7 +23,7 @@
<p>
Let <m>\vec v =\left[\begin{array}{c} 1 \\ -1 \\ 0 \\ 2 \\ 3 \end{array}\right]</m> and <m> \vec w=\left[\begin{array}{c} 5 \\ 12 \\ -1 \\ 1 \\ 2 \end{array}\right]</m>. What is <m>\vec v \circledast \vec w</m>?
</p>
<ol label ="A.">
<ol marker ="A.">
<li> <m>25</m></li>
<li> <m>\left[\begin{array}{c} 5 \\ -12 \\ 0 \\ 2 \\ 6 \end{array}\right]</m></li>
<li> <m>1</m></li>
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