##### Reducing matrix to reduced echelon form

 Mathematics Tutor: None Selected Time limit: 1 Day

Reduce the matrix to its reduced echelon form.
264
3512
−203

=
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Sep 8th, 2015

Row
Operation
1:

 2 6 4 3 5 12 -2 0 13
multiply the 1st row by 1/2
 1 3 2 3 5 12 -2 0 13
Row
Operation
2:

 1 3 2 3 5 12 -2 0 13
add -3 times the 1st row to the 2nd row
 1 3 2 0 -4 6 -2 0 13
Row
Operation
3:

 1 3 2 0 -4 6 -2 0 13
add 2 times the 1st row to the 3rd row
 1 3 2 0 -4 6 0 6 17
Row
Operation
4:

 1 3 2 0 -4 6 0 6 17
multiply the 2nd row by -1/4
 1 3 2 0 1 -3  2 0 6 17
Row
Operation
5:

 1 3 2 0 1 -3  2 0 6 17
add -6 times the 2nd row to the 3rd row
 1 3 2 0 1 -3  2 0 0 26
Row
Operation
6:

 1 3 2 0 1 -3  2 0 0 26
multiply the 3rd row by 1/26
 1 3 2 0 1 -3  2 0 0 1
Row
Operation
7:

 1 3 2 0 1 -3  2 0 0 1
add 3/2 times the 3rd row to the 2nd row
 1 3 2 0 1 0 0 0 1
Row
Operation
8:

 1 3 2 0 1 0 0 0 1
add -2 times the 3rd row to the 1st row
 1 3 0 0 1 0 0 0 1
Row
Operation
9:

 1 3 0 0 1 0 0 0 1
add -3 times the 2nd row to the 1st row 1   0   0   0   1   0   0   0   1

Sep 8th, 2015

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Sep 8th, 2015
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Sep 8th, 2015
Dec 6th, 2016
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