• Support PF! Buy your school textbooks, materials and every day products Here!

Basis of a null space

  • Thread starter karnten07
  • Start date
213
0
[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?
 

Answers and Replies

Hurkyl
Staff Emeritus
Science Advisor
Gold Member
14,843
17
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.
 

Related Threads for: Basis of a null space

  • Last Post
2
Replies
29
Views
4K
  • Last Post
Replies
3
Views
4K
  • Last Post
Replies
16
Views
2K
Replies
3
Views
3K
Replies
1
Views
9K
Replies
5
Views
17K
Replies
9
Views
2K
Replies
6
Views
2K
Top