Question

Can a matrix have any characteristic polynomial?

score 383 · Answer 1 · 2019-10-19 06:04:02

383

Views

Can a matrix have any characteristic polynomial?

Published on 19 Oct 2019 - 6:04

score 121 · Answer 2 · 2019-10-19 23:25:44

121

Views

Find $\det(I+A)$, where $I$ is the $1996\times 1996$ identity matrix and $A=(a_{jk})$, where each $a_{jk} = \cos((k+j)\theta)$

Published on 19 Oct 2019 - 23:25

score 57 · Answer 3 · 2019-10-20 15:09:46

57

Views

Applying the determinant formula to a complicated-looking determinant

Published on 20 Oct 2019 - 15:09

score 2k · Answer 4 · 2019-10-21 18:16:46

2k

Views

Given $\det(A+B) = 0$ or $\det(AB) = 0$, what can be said for $\det(A)$ and $\det(B)$?

Published on 21 Oct 2019 - 18:16

score 910 · Answer 5 · 2019-10-22 05:52:42

910

Views

How do I find the determinant of a permutation matrix that interchanges rows of an $n \times n$ matrix?

Published on 22 Oct 2019 - 5:52

score 117 · Answer 6 · 2026-03-26 09:49:14

117

Views

What does exterior product has to do with Determinant?

Published on 26 Mar 2026 - 9:49

score 34 · Answer 7 · 2019-10-23 14:43:34

34

Views

Finding a transform matrix for a linear operator on $2\times2$ matrices

Published on 23 Oct 2019 - 14:43

score 794 · Answer 8 · 2019-10-23 14:48:44

794

Views

$\det(A+tB)=\det(f(A)+tf(B))$

Published on 23 Oct 2019 - 14:48

score 87 · Answer 9 · 2019-10-23 18:55:28

87

Views

Proving a statement about the determinant of tridiagonal matrix

Published on 23 Oct 2019 - 18:55

score 87 · Answer 10 · 2026-04-03 07:56:03

87

Views

Find the determinant of the AR(1) matrix

Published on 03 Apr 2026 - 7:56

score 111 · Answer 11 · 2019-10-27 15:41:13

111

Views

find all p, for which the determinant is divisible by $p^{3}$

Published on 27 Oct 2019 - 15:41

score 76 · Answer 12 · 2019-10-28 01:24:43

76

Views

Explicit formula for calculating number of transpositions

Published on 28 Oct 2019 - 1:24

score 870 · Answer 13 · 2026-03-29 02:20:47

870

Views

Proving an orthogonal matrix minus the identity matrix is invertible

Published on 29 Mar 2026 - 2:20

score 132 · Answer 14 · 2019-10-29 04:51:22

132

Views

How to find the determinant of the following square matrix

Published on 29 Oct 2019 - 4:51

score 219 · Answer 15 · 2026-03-26 04:37:58

219

Views

How to prove the determinant of the following complex block matrix is always positive?

Published on 26 Mar 2026 - 4:37

List Question

Can a matrix have any characteristic polynomial?

Find $\det(I+A)$, where $I$ is the $1996\times 1996$ identity matrix and $A=(a_{jk})$, where each $a_{jk} = \cos((k+j)\theta)$

Applying the determinant formula to a complicated-looking determinant

Given $\det(A+B) = 0$ or $\det(AB) = 0$, what can be said for $\det(A)$ and $\det(B)$?

How do I find the determinant of a permutation matrix that interchanges rows of an $n \times n$ matrix?

What does exterior product has to do with Determinant?

Finding a transform matrix for a linear operator on $2\times2$ matrices

$\det(A+tB)=\det(f(A)+tf(B))$

Proving a statement about the determinant of tridiagonal matrix

Find the determinant of the AR(1) matrix

find all p, for which the determinant is divisible by $p^{3}$

Explicit formula for calculating number of transpositions

Proving an orthogonal matrix minus the identity matrix is invertible

How to find the determinant of the following square matrix

How to prove the determinant of the following complex block matrix is always positive?

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