Thread: Linear system and parametric equation

Hi Everybody

I've solved a linear system and found the following solution:

x_{1= -} x₂ + x<sub>3

Should I just leave it here or write it in parametric form:

(x1, x2, x3) = (0, 0, 0) + t2 (-1, 1 , 0 ) + t3 (1, 0, 1)

?</sub>

Hey Tala.

It's probably a good idea to write it in parametric form IMO (this is usually what happens when you want to express a solution with free parameters).

but the beginning point is (0, 0, 0) so wouldn't it be a bit unnecessary ? Can I write it without the (0,0,0) : (x1, x2, x3) = t2 (-1, 1 , 0 ) + t3 (1, 0, 1) ?