Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Hadamard's_inequality
|
| gptkbp:appliesTo |
determinants
square matrices |
| gptkbp:field |
gptkb:mathematics
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hadamard's theorem
|
| gptkbp:namedAfter |
gptkb:Jacques_Hadamard
|
| gptkbp:state |
The absolute value of the determinant of a complex matrix is less than or equal to the product of the Euclidean norms of the rows.
|
| gptkbp:usedIn |
linear algebra
matrix analysis |
| gptkbp:yearProposed |
1893
|
| gptkbp:bfsParent |
gptkb:Riemannian_Cartan–Hadamard_theorem
gptkb:Cartan-Hadamard_theorem |
| gptkbp:bfsLayer |
6
|