Question

Show group defined via quotient of matrix $A$'s columns has order $|\det A|$.

score 107 · Answer 1 · 2026-04-11 13:26:17

107

Views

Show group defined via quotient of matrix $A$'s columns has order $|\det A|$.

Published on 11 Apr 2026 - 13:26

score 190 · Answer 2 · 2023-06-04 07:03:12

190

Views

Prove that the determinant of a square matrix can be computed by expansion about any row or column, in which determinants are defined recursively.

Published on 04 Jun 2023 - 7:03

score 142 · Answer 3 · 2026-04-05 23:20:26

142

Views

Prove that $ \det(A+2B)=3\det(B)$ under the condition that $\det(A)$ $=\det(A+B)$ $=\det(A-B)$ $=0$

Published on 05 Apr 2026 - 23:20

score 131 · Answer 4 · 2023-06-05 23:09:25

131

Views

Prove the generalized Laplace expansion.

Published on 05 Jun 2023 - 23:09

score 86 · Answer 5 · 2023-06-07 10:25:47

86

Views

Prove the generalized Leibniz formula for determinants.

Published on 07 Jun 2023 - 10:25

score 70 · Answer 6 · 2023-06-08 13:37:17

70

Views

Determinant question. I don't understand the solution

Published on 08 Jun 2023 - 13:37

score 86 · Answer 7 · 2023-06-08 22:36:50

86

Views

What is the determinant of Bernoulli matrix?

Published on 08 Jun 2023 - 22:36

score 76 · Answer 8 · 2023-06-11 01:58:43

76

Views

Alternative expression for the pseudo-determinant $\operatorname{Det}(A^T \operatorname{diag}(b) A)$?

Published on 11 Jun 2023 - 1:58

score 60 · Answer 9 · 2026-04-11 21:25:48

60

Views

A matrix of determinant equal to zero raised to a large power

Published on 11 Apr 2026 - 21:25

score 60 · Answer 10 · 2023-06-16 10:39:18

60

Views

Computing the determinant using $\det (A^2 C+I) = 1$

Published on 16 Jun 2023 - 10:39

score 254 · Answer 11 · 2026-04-11 09:15:47

254

Views

Prove that an alternating multilinear function is a constant times $\det$ without the Leibniz formula and without the sign of permutations.

Published on 11 Apr 2026 - 9:15

score 89 · Answer 12 · 2023-06-18 09:09:06

89

Views

Prove the multilinear property of the function $\det$.

Published on 18 Jun 2023 - 9:09

score 51 · Answer 13 · 2023-06-18 12:39:37

51

Views

Prove that the determinant of a square matrix can be computed by expansion about the first two columns.

Published on 18 Jun 2023 - 12:39

score 126 · Answer 14 · 2026-04-11 23:51:11

126

Views

Determinant of all possible matrices with elements $\pm 1$

Published on 11 Apr 2026 - 23:51

score 58 · Answer 15 · 2023-06-18 21:40:48

58

Views

Prove the antisymmetric property of the function $\det$.

Published on 18 Jun 2023 - 21:40

List Question

Show group defined via quotient of matrix $A$'s columns has order $|\det A|$.

Prove that the determinant of a square matrix can be computed by expansion about any row or column, in which determinants are defined recursively.

Prove that $ \det(A+2B)=3\det(B)$ under the condition that $\det(A)$ $=\det(A+B)$ $=\det(A-B)$ $=0$

Prove the generalized Laplace expansion.

Prove the generalized Leibniz formula for determinants.

Determinant question. I don't understand the solution

What is the determinant of Bernoulli matrix?

Alternative expression for the pseudo-determinant $\operatorname{Det}(A^T \operatorname{diag}(b) A)$?

A matrix of determinant equal to zero raised to a large power

Computing the determinant using $\det (A^2 C+I) = 1$

Prove that an alternating multilinear function is a constant times $\det$ without the Leibniz formula and without the sign of permutations.

Prove the multilinear property of the function $\det$.

Prove that the determinant of a square matrix can be computed by expansion about the first two columns.

Determinant of all possible matrices with elements $\pm 1$

Prove the antisymmetric property of the function $\det$.

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