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**[SOLVED] basis of a null space**

**1. Homework Statement**

Find a basis of the null space N(A)[tex]\subset[/tex]R^5 of the matrix

A=

1 -2 2 3 -1

-3 6 -1 1 -7

2 -4 5 8 -4

[tex]\in[/tex]M3x5(R)

and hence determine its dimension

**2. Homework 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?