Posted: Mon, 18 Sep 2006 21:37:07 GMT Post subject: rref augmented matrix (already reduced)

i am given the already reduced matrix of : 1 2 0 3

0 0 1 5

0 0 0 0

i know that the linear system is x1= -3 and x2= 5 and x3= 0 but i need to find how to write the infinite solution of the system using variable t.

All I can come up with is: 1x sub 1 - 2x subs = -3

1x sub 3 = 5

x sub 3 = x sub 3

It doesnt make sense to me when I think I need to let X sub 3 = t

How can i get an infinite solution using the variable t for this system?