# Orthonormalization of a matrix

**URL:** https://community.freefem.org/t/orthonormalization-of-a-matrix/2765
**Category:** General Discussion
**Created:** [October 30, 2023, 3:10pm UTC](https://community.freefem.org/t/orthonormalization-of-a-matrix/2765 "2023-10-30T15:10:34Z")
**Posts on this page:** 1
**Page:** 1

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### Author: ![ELAchraf](https://avatars.discourse-cdn.com/v4/letter/e/3e96dc/32.png) [@ELAchraf](https://community.freefem.org/u/ELAchraf)
#### Post date: [October 30, 2023, 3:10pm UTC](https://community.freefem.org/t/orthonormalization-of-a-matrix/2765/1 "2023-10-30T15:10:34Z")

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Hello dear FreeFem++ community,

I want to orthonormalize a rectangular real matrix A of size _mxn_ in such a way to satisfy the property of a column-orthogonal matrix :

(A)^T A = Id\_n

Is there any way to do it using FreeFem++?

Thank you in advance.