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ubuntu2004
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<?xml version='1.0' encoding='UTF-8'?>
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<exercise xmlns="https://spatext.clontz.org" version="0.0">
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<statement>
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<p>Consider the following statement.</p>
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<ul><li>
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The set of vectors <m>{{vecset}}</m> is linearly
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{{#prompt}}in{{/prompt}}dependent.
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</li></ul>
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<ol>
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<li> Write an equivalent statement using a vector equation.</li>
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<li> Explain why your statement is true or false.</li>
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</ol>
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</statement>
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<answer>
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<p><me>\operatorname{RREF}{{matrix}}={{rref}}</me></p>
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<ol>
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<li>
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The vector equation <m>{{veceq}}</m> has
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{{#prompt}}
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no
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{{/prompt}}
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{{^prompt}}
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(infinitely-many)
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{{/prompt}}
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nontrivial solutions.
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</li>
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<li>
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The set of vectors <m>{{vecset}}</m> is linearly
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{{#independent}}in{{/independent}}dependent.
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</li>
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</ol>
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</answer>
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</exercise>
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