Answer:
(x1,x2,x3) = (s,s,-0.25s)
Step-by-step explanation:
Given is a systtem of equations
We are to solve them in parametric form.
[tex]x1+2x2+12x3=0\\2x1+x2+12x3=0\\-x1+x2 =0[/tex]
From equation 3 we get
x1=x2
Substitute in 1 and 2 to get
3x1+12x3 =0 and 3x1 + 12 x3 =0
Thus we find these two equations are dependent. So we can have infinite solutions in parametric form only. No unique solution is possible
Let x1 = x2 = s
Since 3x1 +12x3 =0
x1 = -4x3
Or x3 = -0.25s
So solution in parametric form is
(x1,x2,x3) = (s,s,-0.25s) for all real values s.
