Quick Question: Is this matrix an orthogonal projection?

  • #1
[SOLVED] Quick Question: Is this matrix an orthogonal projection?

Homework Statement


P=[0 0 ]
[11]


Homework Equations





The Attempt at a Solution



Its orthogonal if the null space and range are perpendicular.
Range=[0 ]
[x+y]
null space=[x
 

Answers and Replies

  • #2
null space=[x ]
[-x]??
So then its not orthogonal??
 
  • #3
Dick
Science Advisor
Homework Helper
26,260
619
If you mean the range is spanned by the vector [0,1] and the null space is spanned by the vector [1,-1] (which I think you do mean) then yes, not orthogonal.
 

Related Threads on Quick Question: Is this matrix an orthogonal projection?

  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
2
Views
761
  • Last Post
Replies
1
Views
1K
Replies
5
Views
2K
Replies
3
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
3
Views
1K
Top