determinant
124
triples
GPTKB property
Alternative names (3)
determinantMap
•
hasDeterminant
•
kernelOfDeterminant
Random triples
| Subject |
Object |
|
gptkb:GL(2,_ℂ)
|
nonzero complex number
|
|
gptkb:Jacobsthal_matrix
|
product of Jacobsthal numbers
|
|
gptkb:GL(2,ℤ)
|
±1
|
|
gptkb:Gram_matrix
|
zero if and only if vectors are linearly dependent
|
|
gptkb:GL(n,C)
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gptkb:SL(n,C)
|
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gptkb:general_linear_group_GL(n,R)
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gptkb:SL(n,R)
|
|
gptkb:SO(3,1)
|
1
|
|
gptkb:Special_Linear_Group_of_2x2_real_matrices
|
1
|
|
gptkb:GL(n,C)
|
GL(n,C) → C*
|
|
gptkb:GL(3,C)
|
GL(3,C) → C*
|
|
gptkb:GL(2,C)
|
nonzero
|
|
gptkb:symplectic_matrix
|
1 or -1 (for real matrices)
|
|
gptkb:E7_Cartan_matrix
|
2
|
|
gptkb:GL(1,R)
|
isomorphism to R*
|
|
gptkb:SO(n+1,_ℝ)
|
1
|
|
gptkb:O(2)
|
±1
|
|
gptkb:Special_Linear_Group_of_degree_n_over_the_integers
|
1
|
|
gptkb:SO(5,ℂ)
|
1
|
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gptkb:orthogonal_groups
|
±1
|
|
gptkb:unitary_group_U(n)
|
U(n) → U(1)
|