Question

Determinant of a matrix where every row other than first is a cyclic shift of the first row

score 496 · Answer 1 · 2026-02-23 22:03:33

496

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Determinant of a matrix where every row other than first is a cyclic shift of the first row

Published on 23 Feb 2026 - 22:03

score 517 · Answer 2 · 2020-03-05 02:09:17

517

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How to prove using Leibniz formula that the determinant of a upper triangular matrix is equal to product of its diagonals?

Published on 05 Mar 2020 - 2:09

score 817 · Answer 3 · 2026-03-25 17:19:46

817

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Why is the set of all full rank $\mathbb{R}^{m \times n}$ (rectangular) matrices a Zariski open set?

Published on 25 Mar 2026 - 17:19

score 123 · Answer 4 · 2026-03-25 09:29:16

123

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Find all $n$ for which there exist A, B, matrices of size n with real entries, such that $A^2B-BA^2=A$.

Published on 25 Mar 2026 - 9:29

score 203 · Answer 5 · 2026-03-26 19:07:58

203

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The proof of this tensor identity

Published on 26 Mar 2026 - 19:07

score 83 · Answer 6 · 2026-03-26 06:32:36

83

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If $ A\in M_3(\mathbb{C}) $ and $\det(A+A^t)=8 $ and $\det(A+2A^t)=27$ prove $ \det(A)=1 $ and $ \det( xA+yA^t) = (x+y)^3 $

Published on 26 Mar 2026 - 6:32

score 30 · Answer 7 · 2020-03-08 16:13:05

30

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Eigenvectors and Orthogonal matrix

Published on 08 Mar 2020 - 16:13

score 242 · Answer 8 · 2020-03-08 19:05:41

242

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Finding a determinant of a large matrix

Published on 08 Mar 2020 - 19:05

score 79 · Answer 9 · 2020-03-09 04:57:51

79

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If $A$ is an invertible matrix of order 2, then $|A^|$ is (where $A^$ is inverse of matrix $A$)

Published on 09 Mar 2020 - 4:57

score 168 · Answer 10 · 2020-03-09 09:21:58

168

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Determinant of an almost-diagonal block matrix

Published on 09 Mar 2020 - 9:21

score 247 · Answer 11 · 2026-03-26 14:22:54

247

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What can we say about the product of minors of a symmetric matrix?

Published on 26 Mar 2026 - 14:22

score 88 · Answer 12 · 2020-03-11 23:16:45

88

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Finding relationship between complex determinant and real determinant

Published on 11 Mar 2020 - 23:16

score 166 · Answer 13 · 2020-03-12 11:41:26

166

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If $\det(A) =\det(B)$ $\det(\operatorname{adj}(A)) = \det(\operatorname{adj}(B))$

Published on 12 Mar 2020 - 11:41

score 88 · Answer 14 · 2026-03-25 09:28:56

88

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If $A^3+2A^2+2A+I_n=0_n$, then $\det(A)=-1$, where $A$ is a square matrix of odd size, with real entries

Published on 25 Mar 2026 - 9:28

score 77 · Answer 15 · 2026-03-25 23:38:49

77

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What's the determinant of this $n$ by $n$ matrix?

Published on 25 Mar 2026 - 23:38

List Question

Determinant of a matrix where every row other than first is a cyclic shift of the first row

How to prove using Leibniz formula that the determinant of a upper triangular matrix is equal to product of its diagonals?

Why is the set of all full rank $\mathbb{R}^{m \times n}$ (rectangular) matrices a Zariski open set?

Find all $n$ for which there exist A, B, matrices of size n with real entries, such that $A^2B-BA^2=A$.

The proof of this tensor identity

If $ A\in M_3(\mathbb{C}) $ and $\det(A+A^t)=8 $ and $\det(A+2A^t)=27$ prove $ \det(A)=1 $ and $ \det( xA+yA^t) = (x+y)^3 $

Eigenvectors and Orthogonal matrix

Finding a determinant of a large matrix

If $A$ is an invertible matrix of order 2, then $|A^|$ is (where $A^$ is inverse of matrix $A$)

Determinant of an almost-diagonal block matrix

What can we say about the product of minors of a symmetric matrix?

Finding relationship between complex determinant and real determinant

If $\det(A) =\det(B)$ $\det(\operatorname{adj}(A)) = \det(\operatorname{adj}(B))$

If $A^3+2A^2+2A+I_n=0_n$, then $\det(A)=-1$, where $A$ is a square matrix of odd size, with real entries

What's the determinant of this $n$ by $n$ matrix?

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