Game Development Reference
In-Depth Information
This gives you the following matrix:
1
1
5
6
0
6
16
28
1
3
2
5
The next step involves determining the value by which you can multiply the first
row to make it possible to eliminate the first element from the third row. It ends
up that you can achieve this goal if you multiply by
1. Accordingly, you carry
out the multiplication:
1
15
6
11
5
6
Multiply first row by
1
:
You then add the transformed version of the first row to the third row:
1325
11
56
04
3
11 Result of the addition
:
Your rewritten matrix takes this form:
1
1
5
6
06
16
28
0
4
31
You now have the first column of the matrix in good form, so you can proceed to
work with the second column. Toward this end, you inspect the second row. To
transform the second element of this row so that it becomes a 1, you multiply by
1
6
. The result of the multiplication is this row:
28
6
After you factor the fractions, your matrix assumes this form:
16
6
01
1
1
5
6
8
3
14
3
0
1
31
0
4
