Nullspace of A transpose x: A Geometric Interpretation

  • #1
negation
818
0
What does ATx=0 means?

Does this notation means if A = [3,2;1,2;4,4], then, AT = [3,1,4;2,2,4]

and ATx [x1;x2;x3] = 0?

The nullspace of the transposed of the matrix A?
 
Physics news on Phys.org
  • #2
negation said:
What does ATx=0 means?
This doesn't mean anything to me. I believe it should be written ATx = 0. ATx is the product of A transpose and some vector x.
negation said:
Does this notation means if A = [3,2;1,2;4,4], then, AT = [3,1,4;2,2,4]

and ATx [x1;x2;x3] = 0?

The nullspace of the transposed of the matrix A?
 
  • #3
Mark44 said:
This doesn't mean anything to me. I believe it should be written ATx = 0. ATx is the product of A transpose and some vector x.

What significance is there if a question ask if it is consistent or inconsistent?
ATx = 0
 
  • #4
negation said:
What significance is there if a question ask if it is consistent or inconsistent?
ATx = 0
My guess is they're asking whether the multiplication is defined. If x ##\in## R3, and A is as you have in post 1, then Ax is not defined, but ATx is defined.
 

Similar threads

Replies
7
Views
1K
Replies
14
Views
2K
Replies
1
Views
1K
Replies
10
Views
25K
Replies
2
Views
5K
Replies
3
Views
1K
Back
Top