Basis of a null space

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[SOLVED] basis of a null space

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

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?
 

Answers and Replies

  • #2
Hurkyl
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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.
 

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