Finding a Basis of the Null Space of a Matrix A in R^5 | SOLVED

[karnten07]

[SOLVED] basis of a null space

Homework Statement

Find a basis of the null space N(A)\subsetR^5 of the matrix

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

\inM3x5(R)

and hence determine its dimension

Homework Equations

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?

 

[Hurkyl]

So do i need to find the x that satisfies Ax=0

Why do you think x is unique?

and that x is the null space?

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