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A question about determinants an multilinear algebra

score 115 · Answer 1 · 2026-04-11 10:42:01

115

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A question about determinants an multilinear algebra

Published on 11 Apr 2026 - 10:42

score 52 · Answer 2 · 2026-04-09 13:25:43

52

Views

Fischer Information and Entropy, matrix case, determinant of covariance matrix going to zero

Published on 09 Apr 2026 - 13:25

score 27 · Answer 3 · 2023-04-20 16:04:10

Matrix such that the sum of the modules of the coefficient of each row is less than $1$ that has determinant of absolute value $1$

score 62 · Answer 4 · 2026-03-26 14:25:00

62

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Scale factor of the determinant: I'm blind (SOLVED)

Published on 26 Mar 2026 - 14:25

score 55 · Answer 5 · 2026-03-29 07:00:23

55

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Endomorphisms $f,\overline{f}$ and $f|_U$ (with $U\subseteq V$ being $f$-invariant) satisfying $\det(f)=\det(\overline{f})\det(f|_U).$

Published on 29 Mar 2026 - 7:00

score 114 · Answer 6 · 2026-04-09 13:38:12

114

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Let $v_1 = (1, 0, 2), v_2 = (1, 1, a)$, and $v_3 = (a, 1, −1)$. Find the value(s) of $a$ for which $v_1, v_2$, and $v_3$ are linearly dependent

Published on 09 Apr 2026 - 13:38

score 64 · Answer 7 · 2026-04-11 13:47:27

64

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How can I show the following symmetric matrix is invertible?

Published on 11 Apr 2026 - 13:47

score 82 · Answer 8 · 2023-04-25 04:08:23

82

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Let L = $\frac{f^{2n-2}(0)}{\left(2n-2\right)!}$ and Let M = $\sum_{n=1}^{102}(-1)^{n-1}(L)$. Evaluate M.

Published on 25 Apr 2023 - 4:08

score 333 · Answer 9 · 2026-03-26 04:53:51

333

Views

Show that the determinant of a 4x4 skew-symmetric matrix is non-negative

Published on 26 Mar 2026 - 4:53

score 159 · Answer 10 · 2026-03-30 20:44:28

159

Views

A matrix has rank at most $k$ iff all its $(k+1) \times (k+1)$ subdeterminants vanish

Published on 30 Mar 2026 - 20:44

score 43 · Answer 11 · 2026-04-11 02:40:24

43

Views

A proof by induction for matrix determinants, but without using the inductive hypothesis.

Published on 11 Apr 2026 - 2:40

score 89 · Answer 12 · 2026-03-25 14:35:52

89

Views

$A$ is a square matrix of order $2$ with real entries and ${\rm Tr}(A)+|A|=2$. Show that $|A^2+|A|\cdot A+{\rm Tr}(A)I_2|\geq 4$

Published on 25 Mar 2026 - 14:35

score 1.4k · Answer 13 · 2023-04-28 19:41:14

1.4k

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Let A and B are square matrices of order 2 with real elements such that AB = $A^2B^2 - (AB)^2$

Published on 28 Apr 2023 - 19:41

score 45 · Answer 14 · 2023-04-30 11:00:18

45

Views

Doubts on the formula of the derivative of a determinant

Published on 30 Apr 2023 - 11:00

score 59 · Answer 15 · 2026-04-10 17:03:47

59

Views

How to show the following symmetric matrix is invertible?

Published on 10 Apr 2026 - 17:03

List Question

A question about determinants an multilinear algebra

Fischer Information and Entropy, matrix case, determinant of covariance matrix going to zero

Matrix such that the sum of the modules of the coefficient of each row is less than $1$ that has determinant of absolute value $1$

Scale factor of the determinant: I'm blind (SOLVED)

Endomorphisms $f,\overline{f}$ and $f|_U$ (with $U\subseteq V$ being $f$-invariant) satisfying $\det(f)=\det(\overline{f})\det(f|_U).$

Let $v_1 = (1, 0, 2), v_2 = (1, 1, a)$, and $v_3 = (a, 1, −1)$. Find the value(s) of $a$ for which $v_1, v_2$, and $v_3$ are linearly dependent

How can I show the following symmetric matrix is invertible?

Let L = $\frac{f^{2n-2}(0)}{\left(2n-2\right)!}$ and Let M = $\sum_{n=1}^{102}(-1)^{n-1}(L)$. Evaluate M.

Show that the determinant of a 4x4 skew-symmetric matrix is non-negative

A matrix has rank at most $k$ iff all its $(k+1) \times (k+1)$ subdeterminants vanish

A proof by induction for matrix determinants, but without using the inductive hypothesis.

$A$ is a square matrix of order $2$ with real entries and ${\rm Tr}(A)+|A|=2$. Show that $|A^2+|A|\cdot A+{\rm Tr}(A)I_2|\geq 4$

Let A and B are square matrices of order 2 with real elements such that AB = $A^2B^2 - (AB)^2$

Doubts on the formula of the derivative of a determinant

How to show the following symmetric matrix is invertible?

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