# Basis of a null space

1. Apr 13, 2008

### karnten07

[SOLVED] basis of a null space

1. The problem statement, all variables and given/known data

Find a basis of the null space N(A)$$\subset$$R^5 of the matrix

A=
1 -2 2 3 -1
-3 6 -1 1 -7
2 -4 5 8 -4

$$\in$$M3x5(R)

and hence determine its dimension

2. Relevant equations

3. The attempt at a solution

So do i need to find the x that satisfies Ax=0 and that x is the null space? Then how do i find a basis of this null space?

2. Apr 13, 2008

### Hurkyl

Staff Emeritus
Why do you think x is unique?

No, the null space is the space of all solutions to the equation.