Quick Question: Is this matrix an orthogonal projection?

  • #1
mistymoon_38
18
0
[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
mistymoon_38
18
0
null space=[x ]
[-x]??
So then its not orthogonal??
 
  • #3
Dick
Science Advisor
Homework Helper
26,263
621
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.
 

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