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</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciNTltSkNLPyUpb1c9</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L3" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">#Pivot in the 2,2 position, Current solution is (0,0,2,4,3,4).</Text-field>
</Input>
</Group>
<Group labelreference="L4" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">A1:=RowOperation(A,[1,2],4):
A2:=RowOperation(A1,[3,2],1):
A3:=RowOperation(A2,[5,2],-1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciNTlzSkNLPyUpb1c9</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L5" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">#Pivot in the 5,1 position.  Current solution is (0,2,0,6,3,2)</Text-field>
</Input>
</Group>
<Group labelreference="L6" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">A4:=RowOperation(A3,5,1/2):
A5:=RowOperation(A4,[4,5],-1):
A6:=RowOperation(A5,[2,5],2):
A7:=RowOperation(A6,[1,5],11);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciNXk1SkNLPyUpb1c9</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L7" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">#Pivot in the 4,3 position.  Current solution is (1,4,0,6,2,0);</Text-field>
</Input>
</Group>
<Group labelreference="L8" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">A8:=RowOperation(A7,4,2):
A9:=RowOperation(A8,[1,4],3/2):
A10:=RowOperation(A9,[3,4],-1):
A11:=RowOperation(A10,[5,4],1/2);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciNS1ySUNLPyUpb1c9</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L9" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group><RTable handle="8446884203224316614">TTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2ODg0MjAzMjI0MzE2NjE0WCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjRCImIighIiQhIiMiIiMiIiIiIiEhIiVGKSEiIkYqRilGKkYpRipGKkYqRipGKkYpRipGKkYqRipGKkYpRipGKkYqRipGKkYpRipGKCIiJSIiJEYtRiU=</RTable><RTable handle="8446884203224317214">TTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2ODg0MjAzMjI0MzE3MjE0WCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjRCImIighIzYhIiMiIiEiIiIiIiNGKEYpRihGKEYoIiIlRilGKUYoISIiRihGKEYpRihGKEYoRihGKEYpRihGKEYoRihGKEYpIiIpRioiIiciIiRGKkYl</RTable><RTable handle="8446884203224311078">TTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2ODg0MjAzMjI0MzExMDc4WCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjRCImIigiIiFGJkYmRiYiIiJGJkYnRiZGJkYmIyEiJCIiI0YmRicjRidGKiMhIiJGKkYmRiZGJ0YmRiZGJkYmRiZGJ0YmIyIjNkYqRidGJkYsRisiIz4iIiUiIidGKkYnRiU=</RTable><RTable handle="8446884203224307102">TTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2ODg0MjAzMjI0MzA3MTAyWCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjRCImIigiIiFGJkYmRiYiIiJGJkYnRiZGJkYmRiZGJkYmRidGJkYmRiZGJ0YmRiYiIiRGJiEiIyIiI0YnIiIlRidGJyEiIkYmIiNERitGKkYrRihGJQ==</RTable>
</Worksheet>