Homework Sourse2x3y5z1 4x6y10z2 6x9y15z3 Find the solution setSolutionYour
2x-3y-5z=1
4x-6y-10z=2
6x-9y-15z=3
Find the solution set
Solution
Your matrix
Make the pivot in the 1st column by dividing the 1st row by 2
Eliminate the 1st column
solution
x = 1/2 + (3/2)y + (5/2)z
y, z - free
| X1 | X2 | X3 | b | |
|---|---|---|---|---|
| 1 | 2 | -3 | -5 | 1 |
| 2 | 4 | -6 | -10 | 2 |
| 3 | 6 | -9 | -15 | 3 |
