Symmetric matrix
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Revision 275
7/7/2026, 12:27:21 PM · Ancient Tree
Ah et j'ai ajouté un lien :)
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A [[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.1
A [[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
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##### Remarks4
- 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"
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A [[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.2
Note for instance that any symmetric matrix needs to be a square matrix.2
3
##### Remarks4
- Note that any symmetric matrix needs to be a square matrix.Revision 272
7/7/2026, 12:00:48 PM · Sequoia
Concept edited
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A [[Matrix|matrix]] is symmetric if...1
A [[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.2
Note 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...