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refactor MX1 to manually calculate one column, not whole product #896

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Merged
siwelwerd merged 2 commits into from
Nov 14, 2025
Merged

refactor MX1 to manually calculate one column, not whole product #896

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b1d2023
refactor similar to MX1 to manually calculate one column
StevenClontz Nov 14, 2025
50c2727
Update source/linear-algebra/exercises/outcomes/MX/MX1/generator.sage
StevenClontz Nov 14, 2025
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11 changes: 6 additions & 5 deletions source/linear-algebra/exercises/outcomes/MX/MX1/generator.sage
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Original file line number Diff line number Diff line change
Expand Up @@ -22,16 +22,17 @@ class Generator(BaseGenerator):
productName = letters[indices.index("L")] + letters[indices.index("R")]
product = matrices[indices.index("L")] * matrices[indices.index("R")]


ordinal = randrange(product.ncols())
ordinal_string = ["first", "second", "third", "fourth"][ordinal]

return {
"A": matrices[0],
"B": matrices[1],
"C": matrices[2],
# "leftMatrix": letters[indices.index("L")],
# "rightMatrix": letters[indices.index("R")],
# "leftDim": dims[0],
# "middleDim": dims[1],
# "rightDim": dims[2],
"productName": productName,
"product": product,
"ord_value": ordinal+1,
"ordinal": ordinal_string,
"ord_col": column_matrix(product.column(ordinal)),
}
19 changes: 10 additions & 9 deletions source/linear-algebra/exercises/outcomes/MX/MX1/template.xml
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Expand Up @@ -18,22 +18,23 @@
</knowl>
<knowl>
<content>
<p>Find their product using technology.</p>
<p>Show how to find the {{ordinal}} column of this product without technology.</p>
</content>
<outtro>
<p>
<me>{{productName}} = {{product}}</me>
</p>
</outtro>
<outtro>
<p>
<me>
{{productName}}\vec e_{ {{ord_value}} } = {{ord_col}}
</me>
</p>
</outtro>
</knowl>
<knowl>
<content>
<p>Show how to find this product without technology.</p>
<p>Find their product using technology.</p>
</content>
<outtro>
<p>
Compute each <m>{{productName}}\vec e_i</m> to obtain
each column.
<me>{{productName}} = {{product}}</me>
</p>
</outtro>
</knowl>
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