determinant
128
triples
GPTKB property
Alternative names (3)
determinantMap
•
hasDeterminant
•
kernelOfDeterminant
Random triples
| Subject |
Object |
|
gptkb:general_linear_group_GL(n,R)
|
det: GL(n,R) → R\\{0}
|
|
gptkb:orthogonal_group_O(n,_F)
|
±1
|
|
gptkb:special_linear_group_SL(n,_C)
|
1
|
|
gptkb:SO(32)_group
|
1
|
|
gptkb:SL(2,_ℤ)
|
1
|
|
gptkb:special_orthogonal_group_SO(2)
|
1
|
|
gptkb:Special_Orthogonal_Group_in_2_Dimensions
|
1
|
|
gptkb:orthogonal_group_O(10)
|
±1
|
|
gptkb:SO(5,ℂ)
|
1
|
|
gptkb:SO(11)
|
1
|
|
gptkb:GL(1,R)
|
isomorphism to R*
|
|
gptkb:E_8_Cartan_matrix
|
1
|
|
gptkb:Cauchy_matrix
|
explicit formula exists
|
|
gptkb:U(N)
|
complex number of modulus 1
|
|
gptkb:orthogonal_group_O(n,_C)
|
±1
|
|
gptkb:GL(2,_R)
|
nonzero real number
|
|
gptkb:GL(n,_F)
|
nonzero
|
|
gptkb:O(4)
|
±1
|
|
gptkb:SO(3,1)
|
1
|
|
gptkb:general_linear_group_GL(n,_R)
|
R\\{0}
|