Question

Prove that $\det($Hilbert Matrix minus $\frac{1}{(n+1)^2}$ in the top left$)=0$

score 74 · Answer 1 · 2024-03-01 05:25:50

74

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Prove that $\det($Hilbert Matrix minus $\frac{1}{(n+1)^2}$ in the top left$)=0$

Published on 01 Mar 2024 - 5:25

score 52 · Answer 2 · 2026-03-28 00:49:34

52

Views

Contraction of the determinant

Published on 28 Mar 2026 - 0:49

score 47 · Answer 3 · 2024-03-04 04:33:27

47

Views

prove or disprove whether $\det A = \pm \prod_{i=1}^m |C_G(g_i)|$

Published on 04 Mar 2024 - 4:33

score 45 · Answer 4 · 2024-03-06 03:47:07

45

Views

Question on The Theorem of Existence and Uniqueness of The Solutions to Sylvester Equations

Published on 06 Mar 2024 - 3:47

score 50 · Answer 5 · 2026-04-11 18:02:32

50

Views

Given matrix A with $A_{i,j} = f(i,j)$, how can I find out if A is positive semidefinite?

Published on 11 Apr 2026 - 18:02

score 44 · Answer 6 · 2024-03-08 05:53:55

44

Views

Find the smallest hypersphere passing through $n$ points in $d$-dimensional space (n <= d)

Published on 08 Mar 2024 - 5:53

score 233 · Answer 7 · 2026-04-13 03:24:28

233

Views

Characterization of Determinant using multiplicativity and image of diagonal matrices

Published on 13 Apr 2026 - 3:24

score 41 · Answer 8 · 2026-04-13 05:07:13

41

Views

Extending coplanarity of 4 points to 5 or more points.

Published on 13 Apr 2026 - 5:07

score 27 · Answer 9 · 2024-03-11 03:02:51

27

Views

Is the characteristic polynomial positive for values greater than the spectral radius of the matrix?

Published on 11 Mar 2024 - 3:02

score 43 · Answer 10 · 2026-04-13 00:56:01

43

Views

Maximising a quadratic expression in 3 variables

Published on 13 Apr 2026 - 0:56

score 41 · Answer 11 · 2024-03-11 17:06:15

41

Views

Determinant of product of non-square matrices

Published on 11 Mar 2024 - 17:06

score 134 · Answer 12 · 2026-04-12 09:56:41

134

Views

$AA^\top + A + A^\top = 0$, then $|\det A|\leq 2^n$

Published on 12 Apr 2026 - 9:56

score 123 · Answer 13 · 2026-03-28 11:31:59

123

Views

A sort of extension of Cauchy-Schwarz inequality?

Published on 28 Mar 2026 - 11:31

score 39 · Answer 14 · 2026-03-26 06:42:46

39

Views

Show that $A\in M_n(\mathbb R)$ is skew-symmetric if $\det(A+M)=0$ for all M skew-symmetric, with $n$ odd.

Published on 26 Mar 2026 - 6:42

score 31 · Answer 15 · 2026-04-13 05:52:34

31

Views

How to show that the determinant of a square matrix is equal to the determinant of its transpose?

Published on 13 Apr 2026 - 5:52

List Question

Prove that $\det($Hilbert Matrix minus $\frac{1}{(n+1)^2}$ in the top left$)=0$

Contraction of the determinant

prove or disprove whether $\det A = \pm \prod_{i=1}^m |C_G(g_i)|$

Question on The Theorem of Existence and Uniqueness of The Solutions to Sylvester Equations

Given matrix A with $A_{i,j} = f(i,j)$, how can I find out if A is positive semidefinite?

Find the smallest hypersphere passing through $n$ points in $d$-dimensional space (n <= d)

Characterization of Determinant using multiplicativity and image of diagonal matrices

Extending coplanarity of 4 points to 5 or more points.

Is the characteristic polynomial positive for values greater than the spectral radius of the matrix?

Maximising a quadratic expression in 3 variables

Determinant of product of non-square matrices

$AA^\top + A + A^\top = 0$, then $|\det A|\leq 2^n$

A sort of extension of Cauchy-Schwarz inequality?

Show that $A\in M_n(\mathbb R)$ is skew-symmetric if $\det(A+M)=0$ for all M skew-symmetric, with $n$ odd.

How to show that the determinant of a square matrix is equal to the determinant of its transpose?

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