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An exercise related to strict diagonal dominance

score 79 · Answer 1 · 2026-04-09 04:16:13

79

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An exercise related to strict diagonal dominance

Published on 09 Apr 2026 - 4:16

score 179 · Answer 2 · 2026-03-26 07:58:59

179

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Determine the entries $x$ and $y$ in a matrix so that its only eigenvalue is $1$.

Published on 26 Mar 2026 - 7:58

score 32 · Answer 3 · 2024-01-21 14:45:37

32

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Deteterminant of a zero-diagonal matrix with 1s and -1s

Published on 21 Jan 2024 - 14:45

score 52 · Answer 4 · 2024-01-22 08:01:07

52

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Some statements for matrix and its determinant, please help me find the correct answer.

Published on 22 Jan 2024 - 8:01

score 73 · Answer 5 · 2024-01-24 03:44:22

73

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matrix: $\det(A_{1},\dots,A_{n-1},u+v) = \det(A_{1},\dots,A_{n-1},u) + \det(A_{1},\dots,A_{n-1},v)$

Published on 24 Jan 2024 - 3:44

score 120 · Answer 6 · 2026-04-12 23:06:02

120

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How can I calculate the determinant without knowing every element of the matrix?

Published on 12 Apr 2026 - 23:06

score 151 · Answer 7 · 2024-01-26 04:43:38

151

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Determinant of order n of a matrix

Published on 26 Jan 2024 - 4:43

score 35 · Answer 8 · 2026-04-09 06:19:30

35

Views

Determinant of $ADA^\top$, where $D$ is diagonal and $A$ is wide

Published on 09 Apr 2026 - 6:19

score 189 · Answer 9 · 2026-04-04 11:17:25

189

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Let $G$ be a collection of $n\times n$ invertible matrices, satifying that $A,B\in G, A\neq B, |A+B|=0$. Show $G$ is a finite set.

Published on 04 Apr 2026 - 11:17

score 36 · Answer 10 · 2026-04-11 23:51:08

36

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Determinant of a matrix depending of a parameter

Published on 11 Apr 2026 - 23:51

score 102 · Answer 11 · 2026-04-09 15:14:43

102

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How to deduce: $T(x_1, \dots , x_i+x_j, \dots, x_i+x_j, \dots , x_n) = 0$?

Published on 09 Apr 2026 - 15:14

score 60 · Answer 12 · 2026-04-11 22:13:52

60

Views

Updating a Matrix Determinant After Row Replacement

Published on 11 Apr 2026 - 22:13

score 165 · Answer 13 · 2026-03-25 17:22:18

165

Views

Discriminant of $\sum_{k=0}^n x^k$

Published on 25 Mar 2026 - 17:22

score 140 · Answer 14 · 2024-02-04 11:02:35

140

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If $x= cy + bz, y= az + cx, z= bx + ay$, where $x, y, z$ are not zeros, how to prove the following results?

Published on 04 Feb 2024 - 11:02

score 90 · Answer 15 · 2026-04-13 02:25:46

90

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Variety of Vandermonde matrix generated from a solution of recurrence relation with roots multiplicity

Published on 13 Apr 2026 - 2:25

List Question

An exercise related to strict diagonal dominance

Determine the entries $x$ and $y$ in a matrix so that its only eigenvalue is $1$.

Deteterminant of a zero-diagonal matrix with 1s and -1s

Some statements for matrix and its determinant, please help me find the correct answer.

matrix: $\det(A_{1},\dots,A_{n-1},u+v) = \det(A_{1},\dots,A_{n-1},u) + \det(A_{1},\dots,A_{n-1},v)$

How can I calculate the determinant without knowing every element of the matrix?

Determinant of order n of a matrix

Determinant of $ADA^\top$, where $D$ is diagonal and $A$ is wide

Let $G$ be a collection of $n\times n$ invertible matrices, satifying that $A,B\in G, A\neq B, |A+B|=0$. Show $G$ is a finite set.

Determinant of a matrix depending of a parameter

How to deduce: $T(x_1, \dots , x_i+x_j, \dots, x_i+x_j, \dots , x_n) = 0$?

Updating a Matrix Determinant After Row Replacement

Discriminant of $\sum_{k=0}^n x^k$

If $x= cy + bz, y= az + cx, z= bx + ay$, where $x, y, z$ are not zeros, how to prove the following results?

Variety of Vandermonde matrix generated from a solution of recurrence relation with roots multiplicity

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