Question

nontrivial solution with all components nonzero

score 139 · Answer 1 · 2020-01-31 17:44:55

139

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nontrivial solution with all components nonzero

Published on 31 Jan 2020 - 17:44

score 176 · Answer 2 · 2020-02-01 00:10:19

176

Views

Adding number to all elements of the matrix

Published on 01 Feb 2020 - 0:10

score 68 · Answer 3 · 2020-02-01 13:05:43

68

Views

If a same variable $t$ is added to all entries of a matrix $A$, express $\det(A)$ as a certain first degree polynomial in $t$.

Published on 01 Feb 2020 - 13:05

score 185 · Answer 4 · 2020-02-01 14:41:49

185

Views

Why is $\det(I + A^{50}) = 4$ here?

Published on 01 Feb 2020 - 14:41

score 107 · Answer 5 · 2020-02-01 18:06:57

107

Views

On compact expressions for determinants of matrices having polynomial entries with binomial coefficients

Published on 01 Feb 2020 - 18:06

score 229 · Answer 6 · 2020-02-01 20:47:44

229

Views

Is it true that $\det(A-A^T) \geq 0$ for all $A \in R^{n\times n}$?

Published on 01 Feb 2020 - 20:47

score 1.2k · Answer 7 · 2020-02-02 17:02:15

1.2k

Views

How to proceed : Show $\det A=0$ if two rows or columns are identical

Published on 02 Feb 2020 - 17:02

score 86 · Answer 8 · 2026-03-25 05:06:50

86

Views

Show that $\det A_n = \sum_{i=0}^{n}a^{2i}$

Published on 25 Mar 2026 - 5:06

score 138 · Answer 9 · 2020-02-03 10:08:30

138

Views

How to prove that when $n$ is even, and $A = (a_{ij})_{i,j}$, $1\leq i,j\leq n$ to show that $\mathrm{det} A = 1$?

Published on 03 Feb 2020 - 10:08

score 68 · Answer 10 · 2020-02-03 15:23:05

68

Views

Show that $\det A_n$=0 for a polynomial matrix

Published on 03 Feb 2020 - 15:23

score 1.2k · Answer 11 · 2020-02-04 20:47:31

1.2k

Views

An extension of the determinant to non square matrices

Published on 04 Feb 2020 - 20:47

score 52 · Answer 12 · 2026-03-31 11:29:04

52

Views

Prove $ \det \nabla f > 0$ for all $x \in G$, but f is not injective with $f(x,y):= (e^x \cos y, e^x \sin y) $

Published on 31 Mar 2026 - 11:29

score 99 · Answer 13 · 2026-03-28 21:34:13

99

Views

If A is a square matrix of size n with real entries, with $A = A^{p+1}$, then $rank(A) + rank (I_n - A^p) = n$

Published on 28 Mar 2026 - 21:34

score 227 · Answer 14 · 2020-02-07 05:34:19

227

Views

Understanding matrix of cofactors

Published on 07 Feb 2020 - 5:34

score 189 · Answer 15 · 2020-02-07 20:15:46

189

Views

binomial determinant

Published on 07 Feb 2020 - 20:15

List Question

nontrivial solution with all components nonzero

Adding number to all elements of the matrix

If a same variable $t$ is added to all entries of a matrix $A$, express $\det(A)$ as a certain first degree polynomial in $t$.

Why is $\det(I + A^{50}) = 4$ here?

On compact expressions for determinants of matrices having polynomial entries with binomial coefficients

Is it true that $\det(A-A^T) \geq 0$ for all $A \in R^{n\times n}$?

How to proceed : Show $\det A=0$ if two rows or columns are identical

Show that $\det A_n = \sum_{i=0}^{n}a^{2i}$

How to prove that when $n$ is even, and $A = (a_{ij})_{i,j}$, $1\leq i,j\leq n$ to show that $\mathrm{det} A = 1$?

Show that $\det A_n$=0 for a polynomial matrix

An extension of the determinant to non square matrices

Prove $ \det \nabla f > 0$ for all $x \in G$, but f is not injective with $f(x,y):= (e^x \cos y, e^x \sin y) $

If A is a square matrix of size n with real entries, with $A = A^{p+1}$, then $rank(A) + rank (I_n - A^p) = n$

Understanding matrix of cofactors

binomial determinant

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