List questions from determinant

Published on 14 Dec 2018 - 18:21

167

Views

Maximize $\det X$, subject to $X_{ii}\leq P_i$, where $X>0$

Published on 25 Mar 2026 - 19:05

292

Views

Can you "split" a determinant along multiple rows or columns?

Published on 15 Dec 2018 - 4:11

129

Views

Value of the quadratic form as a function of the determinant

Published on 25 Mar 2026 - 12:33

115

Views

Determinant properties with row reduction

Published on 16 Dec 2018 - 9:46

4k

Views

Intuition for the invariance of the determinant under change of basis

Published on 26 Mar 2026 - 17:53

255

Views

Linear system of equations and distinct solutions

Published on 17 Dec 2018 - 7:55

217

Views

Find determinant of the matrix $P$.

Published on 17 Dec 2018 - 8:52

178

Views

An inequality for positive definite matrix with trace 1

Published on 25 Mar 2026 - 20:35

226

Views

$4 \times 4$ matrix and homogeneous system of equations.

Published on 18 Dec 2018 - 7:02

3.2k

Views

True or false statements about a square matrix

Published on 27 Mar 2026 - 0:09

98

Views

value of $\det(P^2+Q^2)$

Published on 18 Dec 2018 - 15:30

438

Views

Simplify the determinant of a $4 \times 4$ matrix.

Published on 19 Dec 2018 - 18:12

140

Views

Find the determinant of the $n\times n$ matrix $A_n$ with $(A_n)_{i,j}={n\choose |i-j|}$.

Published on 28 Mar 2026 - 12:14

31

Views

Simple ways for constructing real $n \times n$ matrices $K$ satisfying $(-1)^{|A|}\det(K-I_A) \ge 0,\;\forall A \subseteq [\![n]\!]$

Published on 19 Dec 2018 - 20:06

List Question

Cross Products/Determinants/Matrix Multiplication Under Arbitrary Inner Products

Maximize $\det X$, subject to $X_{ii}\leq P_i$, where $X>0$

Can you "split" a determinant along multiple rows or columns?

Value of the quadratic form as a function of the determinant

Determinant properties with row reduction

Intuition for the invariance of the determinant under change of basis

Linear system of equations and distinct solutions

Find determinant of the matrix $P$.

An inequality for positive definite matrix with trace 1

$4 \times 4$ matrix and homogeneous system of equations.

True or false statements about a square matrix

value of $\det(P^2+Q^2)$

Simplify the determinant of a $4 \times 4$ matrix.

Find the determinant of the $n\times n$ matrix $A_n$ with $(A_n)_{i,j}={n\choose |i-j|}$.

Simple ways for constructing real $n \times n$ matrices $K$ satisfying $(-1)^{|A|}\det(K-I_A) \ge 0,\;\forall A \subseteq [\![n]\!]$

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