# MatCreateNormal
Creates a new `MATNORMAL` matrix object that behaves like A'*A. 
## Synopsis
```
#include "petscmat.h" 
PetscErrorCode MatCreateNormal(Mat A, Mat *N)
```
Collective on mat


## Input Parameter

- ***A  -*** the (possibly rectangular) matrix



## Output Parameter

- ***N -*** the matrix that represents A'*A





## Notes
The product A'*A is NOT actually formed! Rather the new matrix
object performs the matrix-vector product, `MatMult()`, by first multiplying by
A and then A'


## See Also
 `MATNORMAL`, `MatMult()`, `MatNormalGetMat()`, `MATNORMALHERMITIAN`,

## Level
intermediate

## Location
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/mat/impls/normal/normm.c.html#MatCreateNormal">src/mat/impls/normal/normm.c</A>


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[Edit on GitLab](https://gitlab.com/petsc/petsc/-/edit/release/src/mat/impls/normal/normm.c)


[Index of all Mat routines](index.md)  
[Table of Contents for all manual pages](/docs/manualpages/index.md)  
[Index of all manual pages](/docs/manualpages/singleindex.md)  
