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source/linear-algebra/exercises/outcomes/EV/EV3/template.xml
@@ -82,7 +82,10 @@ Prove that <m>R</m> <em>is</em> a subspace.
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</content>
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<outtro>
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<p>
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-First show that <m>R</m> is closed under
+ First note that <m>\vec{0} \in R</m>, so the set is nonempty.
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+ </p>
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+ <p>
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+Next, show that <m>R</m> is closed under
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vector addition. Let <m>{{v}}\in R</m> so that
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<m>{{R_eq}}</m>, and let <m>{{valt}}\in R</m> so that
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<m>{{R_eq_alt}}</m>. Then use those assumptions to show
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