Originally Posted by
Vidal Suppose that you are given the following system of linear equations
[variables are x1, x2, x3 and x4]
x1 + 3x2 + 9x3 + 2x4 =5
x1 + 3x3 - 4x4 =5
x2 + 2x3 + 3x4 =-1
-2x1 + 3x2 + 5x4 =-1
What is the general solution for the system? Write this general solution in
parametric vector form.
i row reduced the augmented matrix into:
1 0 3 0 1
0 1 2 0 2
0 0 0 0 -1
0 0 0 0 0
did i row reduce this matrix correctly?
the solution i got is
x1=1-3x3
x2=2-2x3
x3 is free
x4=-1
any mistakes?
I don't really know the difference between general solution and general solution in parametric vector form, can anybody show me the two? thanks.