Fat matrix inversion

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If G is a MxN fat matrix and S is NxN matrix and both of them are full rank, then what is the inverse of (GSG^T)?
More information about G:
In each row there is exactly one 1 and all other entries are zero.
In each column there is at most one 1 and all other entries are zero.
Example: G =[1 0 0 0;
0 0 1 0;
0 0 0 1]
matrices
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up vote
-2
down vote
favorite
If G is a MxN fat matrix and S is NxN matrix and both of them are full rank, then what is the inverse of (GSG^T)?
More information about G:
In each row there is exactly one 1 and all other entries are zero.
In each column there is at most one 1 and all other entries are zero.
Example: G =[1 0 0 0;
0 0 1 0;
0 0 0 1]
matrices
add a comment |Â
up vote
-2
down vote
favorite
up vote
-2
down vote
favorite
If G is a MxN fat matrix and S is NxN matrix and both of them are full rank, then what is the inverse of (GSG^T)?
More information about G:
In each row there is exactly one 1 and all other entries are zero.
In each column there is at most one 1 and all other entries are zero.
Example: G =[1 0 0 0;
0 0 1 0;
0 0 0 1]
matrices
If G is a MxN fat matrix and S is NxN matrix and both of them are full rank, then what is the inverse of (GSG^T)?
More information about G:
In each row there is exactly one 1 and all other entries are zero.
In each column there is at most one 1 and all other entries are zero.
Example: G =[1 0 0 0;
0 0 1 0;
0 0 0 1]
matrices
edited Aug 16 at 1:52
asked Aug 16 at 1:47
Joey
11
11
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