Find the general solution to the following system of equations and indicate which variables are free and which are basic.
Putting it in augmented matrix form to start we have:
1 -1 -1 4 | -3
1 0 -1/2 3 | -1
1 1 0 2 | 1
Now performing the following fundamental row operations:
R1<-->R2...
Find the general solution to the following system of equations and indicate which variables are free and which are basic.
x_1 + 4x_4 + 3 = x_2 + x_3
x_1 + 3x_4 + 1 = \frac{1}{2}x_3
x_1 + x_2 + 2x_4 = 1
Putting it in augmented matrix form to start we have:
1 -1 -1 4 | -3
1 0 -1/2...