Question

Finding the trace & determinant of a linear operator which takes any square matrix as an input.

score 184 · Answer 1 · 2018-10-05 02:02:42

184

Views

Finding the trace & determinant of a linear operator which takes any square matrix as an input.

Published on 05 Oct 2018 - 2:02

score 102 · Answer 2 · 2026-03-25 22:06:08

102

Views

If $(A + I_n)^m = 0$, show that $A$ is invertible and find $\det(A)$

Published on 25 Mar 2026 - 22:06

score 1k · Answer 3 · 2026-03-25 06:19:26

1k

Views

Prove that $SL(n,\mathbb{Z})$ is generated by $(n^2-n)$ elements.

Published on 25 Mar 2026 - 6:19

score 124 · Answer 4 · 2018-10-05 13:22:33

124

Views

Derivative of a determinant with differentiable functions as elements

Published on 05 Oct 2018 - 13:22

score 152 · Answer 5 · 2018-10-05 17:59:06

152

Views

A question of non-singularity

Published on 05 Oct 2018 - 17:59

score 266 · Answer 6 · 2026-03-20 04:34:00

266

Views

Proof of a linear algebra lemma for Cohn-Vossen's theorem

Published on 20 Mar 2026 - 4:34

score 566 · Answer 7 · 2026-03-27 17:35:24

566

Views

Ratio of Determinant of Gram Matrices

Published on 27 Mar 2026 - 17:35

score 407 · Answer 8 · 2026-03-26 12:06:44

407

Views

difference in determinants of Positive Definite Matrices

Published on 26 Mar 2026 - 12:06

score 348 · Answer 9 · 2018-10-07 03:38:51

348

Views

Find the determinant of an $n \times n$ square matrix $A$ whose entries are $a_{ij} = \max(i,j)$

Published on 07 Oct 2018 - 3:38

score 56 · Answer 10 · 2018-10-07 10:12:16

56

Views

Determinant of a tridiagonal matrix $A_n$

Published on 07 Oct 2018 - 10:12

score 185 · Answer 11 · 2018-10-07 11:48:56

185

Views

A question on a $2\times 2$ matrix differential equation

Published on 07 Oct 2018 - 11:48

score 74 · Answer 12 · 2018-10-07 14:00:29

74

Views

What is the conceptual description for the determinant?

Published on 07 Oct 2018 - 14:00

score 279 · Answer 13 · 2018-10-07 15:59:03

279

Views

Determine the value of determinant in terms of $\cos \theta$

Published on 07 Oct 2018 - 15:59

score 509 · Answer 14 · 2018-10-07 16:03:11

509

Views

3x3 Determinant, Solving for Eigenvalues

Published on 07 Oct 2018 - 16:03

score 1.8k · Answer 15 · 2018-10-09 18:43:57

1.8k

Views

operation count for computing the determinant of an $n\times n$ matrix $A$ directly is $O(n!)$

Published on 09 Oct 2018 - 18:43

List Question

Finding the trace & determinant of a linear operator which takes any square matrix as an input.

If $(A + I_n)^m = 0$, show that $A$ is invertible and find $\det(A)$

Prove that $SL(n,\mathbb{Z})$ is generated by $(n^2-n)$ elements.

Derivative of a determinant with differentiable functions as elements

A question of non-singularity

Proof of a linear algebra lemma for Cohn-Vossen's theorem

Ratio of Determinant of Gram Matrices

difference in determinants of Positive Definite Matrices

Find the determinant of an $n \times n$ square matrix $A$ whose entries are $a_{ij} = \max(i,j)$

Determinant of a tridiagonal matrix $A_n$

A question on a $2\times 2$ matrix differential equation

What is the conceptual description for the determinant?

Determine the value of determinant in terms of $\cos \theta$

3x3 Determinant, Solving for Eigenvalues

operation count for computing the determinant of an $n\times n$ matrix $A$ directly is $O(n!)$

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