Dimension of and Basis for Solution Set of Homogeneous System

This is probably pretty simple I just want to make sure I'm doing it right:

Find the dimension of and a basis for the solution set of the following homogeneous systems of equations:

1. x1+2x2-3x3+x4=0

2.x1+2x2=0

x1-x2=0

Any help would be appreciated! Thanks! :)

Re: Dimension of and Basis for Solution Set of Homogeneous System

Quote:

Originally Posted by

**divinelogos** Find the dimension of and a basis for the solution set of the following homogeneous systems of equations: 1. x1+2x2-3x3+x4=0

Solving the system:

Those three vectors span the subspace and are linearly independent. Try 2.