Question

Find $\det(C_n)$ where $c_{ij} = 1$ unless $i-j=\pm 1$

score 53 · Answer 1 · 2026-04-14 15:22:08

53

Views

Find $\det(C_n)$ where $c_{ij} = 1$ unless $i-j=\pm 1$

Published on 14 Apr 2026 - 15:22

score 185 · Answer 2 · 2026-04-11 23:45:41

185

Views

The product of $100\times 2$ and $2\times 100$ matrices must have zero determinant

Published on 11 Apr 2026 - 23:45

score 103 · Answer 3 · 2026-04-16 01:16:06

103

Views

The determinant of any $3\times 3$ matrix of rank $2$ is $0$, and generalization

Published on 16 Apr 2026 - 1:16

score 4.3k · Answer 4 · 2026-04-12 02:57:09

4.3k

Views

Why does $\det A=0$ imply that there exists a non-zero solution to the homogeneous linear equations determined by $A$?

Published on 12 Apr 2026 - 2:57

score 1.5k · Answer 5 · 2026-04-16 11:29:44

1.5k

Views

Matrix determinant lemma with adjugate matrix

Published on 16 Apr 2026 - 11:29

score 234 · Answer 6 · 2026-04-12 14:35:35

234

Views

Changing order of determinant and limits

Published on 12 Apr 2026 - 14:35

score 162 · Answer 7 · 2026-04-10 11:48:31

162

Views

Finding Maximum Determinant of a $6\times 6$ Matrix

Published on 10 Apr 2026 - 11:48

score 137 · Answer 8 · 2026-04-13 17:14:19

137

Views

Proof by Induction that relates to the Jacobian Determinant

Published on 13 Apr 2026 - 17:14

score 151 · Answer 9 · 2026-04-02 05:01:54

151

Views

Matrices made of gluing $\begin{pmatrix} z & iw \\ i \bar w & \bar z \end{pmatrix}$ blocks have a real determinant

Published on 02 Apr 2026 - 5:01

score 112 · Answer 10 · 2026-03-09 05:59:04

112

Views

Automorphisms of the exceptional Jordan algebra preserve the determinant and trace.

Published on 09 Mar 2026 - 5:59

score 4.7k · Answer 11 · 2026-03-30 03:38:01

4.7k

Views

A is a positive definite matrix iff its leading principal minors are positive

Published on 30 Mar 2026 - 3:38

score 475 · Answer 12 · 2026-04-15 21:46:23

475

Views

simple showing inverse of matrix also upper triangular

Published on 15 Apr 2026 - 21:46

score 6.3k · Answer 13 · 2026-04-09 01:46:33

6.3k

Views

On the number of $2 \times 2$ matrices over ${\Bbb Z}_3$ with unit determinant

Published on 09 Apr 2026 - 1:46

score 60 · Answer 14 · 2026-04-17 15:45:25

Let $B = \{δ_1,...,δ_n\}$ be subset of $D(V)$ and assume there exists vector $0_V \ne v ∈ V$ satisfying $δ_i(v) = 0$. Show $B$ is linearly dependent

score 971 · Answer 15 · 2026-04-16 07:23:07

971

Views

$f(x) = \det(E+Ax)$; find a derivative of this function in $x_0 = 0$

Published on 16 Apr 2026 - 7:23

List Question

Find $\det(C_n)$ where $c_{ij} = 1$ unless $i-j=\pm 1$

The product of $100\times 2$ and $2\times 100$ matrices must have zero determinant

The determinant of any $3\times 3$ matrix of rank $2$ is $0$, and generalization

Why does $\det A=0$ imply that there exists a non-zero solution to the homogeneous linear equations determined by $A$?

Matrix determinant lemma with adjugate matrix

Changing order of determinant and limits

Finding Maximum Determinant of a $6\times 6$ Matrix

Proof by Induction that relates to the Jacobian Determinant

Matrices made of gluing $\begin{pmatrix} z & iw \\ i \bar w & \bar z \end{pmatrix}$ blocks have a real determinant

Automorphisms of the exceptional Jordan algebra preserve the determinant and trace.

A is a positive definite matrix iff its leading principal minors are positive

simple showing inverse of matrix also upper triangular

On the number of $2 \times 2$ matrices over ${\Bbb Z}_3$ with unit determinant

Let $B = \{δ_1,...,δ_n\}$ be subset of $D(V)$ and assume there exists vector $0_V \ne v ∈ V$ satisfying $δ_i(v) = 0$. Show $B$ is linearly dependent

$f(x) = \det(E+Ax)$; find a derivative of this function in $x_0 = 0$

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