- #1

- 118

- 0

## Homework Statement

Find a basis for and the dimension of the solution space of the homogenous system of equations.

2x

_{1}+2x

_{2}-x

_{3}+x

_{5}=0

-x

_{1}-x

_{2}+2x

_{3}-3x

_{4}+x

_{5}=0

x

_{1}+x

_{2}-2x

_{3}-x

_{5}=0

x

_{3}+x

_{4}+x

_{5}=0

## Homework Equations

## The Attempt at a Solution

I reduced the vector reduced row echelon form. However the second row doesn't have a 1 in the x

_{2}position which has thrown me off. Do I parametrize here like I did? Something just doesn't seem correct.

Here is my work thus far:

Last edited: