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clarify how to show computation of inverse (MX2 checkit) #731

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clarify how to show computation of inverse (MX2 checkit) #731

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4e3124e
clarify how to show computation of inverse
StevenClontz Apr 25, 2025
2f6e782
Update template.xml
StevenClontz Apr 25, 2025
c8946b5
Update source/linear-algebra/exercises/outcomes/MX/MX2/template.xml
StevenClontz May 22, 2025
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9 changes: 4 additions & 5 deletions source/linear-algebra/exercises/outcomes/MX/MX2/template.xml
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Expand Up @@ -25,10 +25,10 @@ discussing its corresponding linear transformation.
</p>
<p>
<!-- {{#invertible}} -->
<m>{{label}}</m> is invertible.
<m>{{label}}</m> is invertible because it is a bijective transformation.
<!-- {{/invertible}} -->
<!-- {{^invertible}} -->
<m>{{label}}</m> is not invertible.
<m>{{label}}</m> is not invertible because it is not a bijective transformation.
<!-- {{/invertible}} -->
</p>
</outtro>
Expand Down Expand Up @@ -62,9 +62,8 @@ be done without using technology.)
<outtro>
<p>
<!-- {{#invertible}} -->
Show how to compute each column of the inverse matrix
by solving an appropriate vector equation (that is, computing RREF
of an appropriate augmented matrix).
Explain and demonstrate how to solve <m>{{label}} \vec x = \vec e_i</m> for <m>i=1,2,3,4</m> to obtain
each column <m>{{label}}^{-1}\vec e_i</m> of the inverse matrix <m>{{label}}^{-1}</m>.
<!-- {{/invertible}} -->
<!-- {{^invertible}} -->
N/A
Expand Down