determinant
124
triples
GPTKB property
Alternative names (3)
determinantMap
•
hasDeterminant
•
kernelOfDeterminant
Random triples
| Subject |
Object |
|
gptkb:orthogonal_group_O(n,_F)
|
±1
|
|
gptkb:GL(n+1,_C)
|
group homomorphism to C*
|
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gptkb:GL(n,_K)
|
GL(n, K) → K^*
|
|
gptkb:GL_1(C)
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gptkb:identity
|
|
gptkb:Gram_matrix
|
zero if and only if vectors are linearly dependent
|
|
gptkb:SO(p+1,q+1)
|
1
|
|
gptkb:GL(2,R)
|
GL(2,R) → R\{0}
|
|
gptkb:GL(10,C)
|
det: GL(10,C) → C*
|
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gptkb:GL(n,_C^n)
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gptkb:C*
|
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gptkb:special_linear_group_SL(n,C)
|
1
|
|
gptkb:SL(2,_ℂ)
|
1
|
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gptkb:GL(n,C)
|
gptkb:SL(n,C)
|
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gptkb:GL(2,_C)
|
gptkb:C*
|
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gptkb:GL_n(R)
|
det: GL_n(R) → R\{0}
|
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gptkb:general_linear_group_GL(n,_R)
|
R\{0}
|
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gptkb:special_linear_group_SL(n,R)
|
1
|
|
gptkb:SO(2,_n-1)
|
1
|
|
gptkb:Special_Linear_Group_of_2x2_Complex_Matrices
|
1
|
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gptkb:Householder_matrix
|
-1
|
|
gptkb:special_linear_group_SL(2,3)
|
1
|