The linear system associated to the augmented matrix below is consistent.

Given the RREF augmented matrix below, write the solution to the associated
system in parametric vector form.

Answer:

A system of linear equations is called homogeneous if it can be written in the form

You are given a homogeneous system with no free variables. How many solutions
does it have?

none one infinitely many not enough information to know
Geometrically, the parametric vector form of a solution represents:

a line through the origin parallel to . a line through the origin parallel to . a
line through parallel to . a line through parallel to . a plane through and
.