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# MatSetTransposeNullSpace
attaches the null space of a transpose of a matrix to the matrix 
## Synopsis
```
#include "petscmat.h" 
PetscErrorCode MatSetTransposeNullSpace(Mat mat, MatNullSpace nullsp)
```
Logically Collective


## Input Parameters

- ***mat -*** the matrix
- ***nullsp -*** the null space object





## Notes
This allows solving singular linear systems defined by the transpose of the matrix using `KSP` solvers with left preconditioning.

See `MatSetNullSpace()`


## See Also
 [](ch_matrices), `Mat`, `MatNullSpace`, `MatCreate()`, `MatNullSpaceCreate()`, `MatSetNearNullSpace()`, `MatGetNullSpace()`, `MatSetNullSpace()`, `MatGetTransposeNullSpace()`, `MatNullSpaceRemove()`, `KSPSetPCSide()`

## Level
advanced

## Location
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/interface/matrix.c.html#MatSetTransposeNullSpace">src/mat/interface/matrix.c</A>

## Examples
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ksp/ksp/tutorials/ex67.c.html">src/ksp/ksp/tutorials/ex67.c</A><BR>


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