Rank of a matrix

  • Thread starter katyyara
  • Start date
  • #1
3
0
Hi,

Does anyone know how to prove rank(A)=rank(AT A) where A is any matrix and AT is the transposed of matrix A? I have difficulty to prove the part that nulity(A)=nulity(AT A). Any help will be appreciated.
 

Answers and Replies

  • #2
256
0
Try proving [tex]\operatorname{ker} A = \operatorname{ker} ( A^\top A)[/tex].
 

Related Threads on Rank of a matrix

  • Last Post
Replies
8
Views
4K
  • Last Post
Replies
5
Views
21K
  • Last Post
Replies
1
Views
962
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
8
Views
3K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
1
Views
4K
  • Last Post
Replies
2
Views
8K
  • Last Post
Replies
1
Views
3K
Top