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In mathematics, the determinant is a scalar-valued function of the entries of a square matrix that has many properties which make it fundamental for the study of square matrices and linear transformations represented by them.
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| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Determinant | is a | scalar-valued function of the entries of a square matrix that has many properties which make it fundamental for the study of square matrices and linear transformations represent… | 0.90 | text |
| Determinant | is a | scale factor by which the transformation alters every volume in the space | 0.90 | text |
| Determinant | is a | coefficient of the standard volume element e 1 | 0.90 | text |
| Determinant | is a | homogeneous function | 0.90 | text |
| Determinant | is a | n-linear function.Multiplicativity and matrix groupsThe determinant is a multiplicative map | 0.90 | text |
| Determinant | is a | concave function | 0.90 | text |
| Determinant | is a | homogeneous function.Sum identity for 2 | 0.90 | text |
| Determinant | is a | n-linear function | 0.90 | text |
| Determinant | is a | multiplicative map | 0.90 | text |
| Determinant | is a | resultant | 0.90 | text |
| Determinant | is a | invertible element in R | 0.90 | text |
| Determinant | is a | natural transformation between the two functors GL n | 0.90 | text |
| Determinant | is a | morphism of algebraic groups | 0.90 | text |
| Determinant | is a | functional determinant.Operators in von Neumann algebrasFor operators in a finite factor | 0.90 | text |
| Determinant | is a | functional determinant | 0.90 | text |
| Determinant | is a | product of the entries of its diagonal.So | 0.90 | text |
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