Fredholm's theorem states that, if 
is an 
matrix, then the orthogonal
complement of the row space of 
is the null space of 
, and the orthogonal complement
of the column space of 
is the null space of 
,
 |  |  |
(1)
|
 |  |  |
(2)
|
Fredholm's Theorem
See also
Column Space, Null Space, Orthogonal Decomposition, Row SpaceThis entry contributed by Viktor Bengtsson
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Cite this as:
Bengtsson, Viktor. "Fredholm's Theorem." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/FredholmsTheorem.html