Ivan Shishkin, Birch Grove

Symmetric matrix

Concept history

A revision trail for this concept page.

8 revisions

Back

Revision 5843

9/25/2026, 6:31:07 PM · darktoaster

Shared settings updated from fr translation

linked exercisesInverse d’une matrice symétrique, Reconnaître une matrice symétriqueInverse d’une matrice symétrique, Reconnaître une matrice symétrique, Matrices symétriques et antisymétriques

Revision 5801

9/24/2026, 7:31:59 PM · darktoaster

Shared settings updated from fr translation

domainGeneral algebraLinear algebra

Revision 5035

9/15/2026, 5:38:49 PM · darktoaster

Added exercise "Reconnaître une matrice symétrique"

linked exercisesInverse d’une matrice symétriqueInverse d’une matrice symétrique, Reconnaître une matrice symétrique

Revision 5030

9/15/2026, 5:29:20 PM · darktoaster

Shared settings updated from fr translation

linked exercisesNoneInverse d’une matrice symétrique

Revision 275

7/7/2026, 12:27:21 PM · Ancient Tree

Ah et j'ai ajouté un lien :)

Compare with revision 2742 changed lines
1A [[Matrix|matrix]] $A=(a_{i,j})_{i,j}$ is symmetric if it equals its transposes $A^{T}$, which means that $a_{i,j}=a_{j,i}$ for all positive integers $i,j$ such that $a_{i,j}$ is defined.
1A [[Matrix|matrix]] $A=(a_{i,j})_{i,j}$ is symmetric if it equals its [[Transpose of a matrix|transpose]] $A^{T}$, which means that $a_{i,j}=a_{j,i}$ for all positive integers $i,j$ such that $a_{i,j}$ is defined.
2
3##### Remarks
4- Note that any symmetric matrix needs to be a square matrix.

Revision 274

7/7/2026, 12:26:16 PM · Ancient Tree

J'ai juste mis entre "remarks"

Compare with revision 2724 changed lines
1A [[Matrix|matrix]] $A=(a_{i,j})_{i,j}$ is symmetric if it equals its transposes $A^{T}$, which means that $a_{i,j}=a_{j,i}$ for all positive integers $i,j$ such that $a_{i,j}$ is defined.
2Note for instance that any symmetric matrix needs to be a square matrix.
2
3##### Remarks
4- Note that any symmetric matrix needs to be a square matrix.

Revision 272

7/7/2026, 12:00:48 PM · Sequoia

Concept edited

Compare with revision 2663 changed lines
1A [[Matrix|matrix]] is symmetric if...
1A [[Matrix|matrix]] $A=(a_{i,j})_{i,j}$ is symmetric if it equals its transposes $A^{T}$, which means that $a_{i,j}=a_{j,i}$ for all positive integers $i,j$ such that $a_{i,j}$ is defined.
2Note for instance that any symmetric matrix needs to be a square matrix.

Revision 266

7/7/2026, 10:42:11 AM · Ancient Tree

Concept created

A [[Matrix|matrix]] is symmetric if...