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<exercise>
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<statement>
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<p>Consider the homogeneous system of equations
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<md alignment="alignat">
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<xsl:attribute name="alignat-columns"><xsl:value-of select="alignCols"/></xsl:attribute>
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<xsl:for-each select="system/*">
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<mrow><xsl:value-of select="."/></mrow>
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</xsl:for-each>
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</md>
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</p>
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<ol>
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<li> Find the solution space of this system.</li>
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<li> Find a basis of the solution space.</li>
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</ol>
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</statement>
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<answer>
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<p><me>\operatorname{RREF}<xsl:value-of select="matrix"/>=<xsl:value-of select="rref"/></me></p>
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<ol>
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<li>The solution space is <m><xsl:value-of select="solutions"/></m> </li>
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<li>A basis of the solution space is <m><xsl:value-of select="basis"/></m>.</li>
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</ol>
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</answer>
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</exercise>
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