SOLUTION: Pivot the system about the element in row 2, column 2.
1 5 –10 0
0 5 –6 –6
0 10 8 –5
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Question 652103: Pivot the system about the element in row 2, column 2.
1 5 –10 0
0 5 –6 –6
0 10 8 –5
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
They want you to make the 1 a pivot element, meaning that the other numbers in it's column are zero. All you do is use row reduction techniques to accomplish this.
Divide row by
|1| 5| -10| 0|
|0| 1| -6/5| -6/5|
|0| 10| 8| -5|
Add () to row
|1| 5| -10| 0|
|0| 1| -6/5| -6/5|
|0| 0| 20| 7|
Divide by
|1| 5| -10| 0|
|0| 1| -6/5| -6/5|
|0| 0| 1| 7/20|
Add () to
|1| 5| -10| 0|
|0| 1| 0| -39/50|
|0 | 0| 1| 7/20|
Add () to
|1| 5 | 0| 7/2|
|0| 1| 0| -39/50|
|0| 0| 1| 7/20|
Add () to
|1| 0| 0| 37/5|
|0| 1| 0| -39/50|
|0| 0| 1| 7/20|
so, your solutions are: , , and
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