List questions from determinant

115

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let $A,B$ matrices $n \times n$ and $A \ne B , AB=0$ and $A\ne 0 , B\ne0$ prove $\left|A\right|^2+\left|B\right|^2=0$

Published on 01 Apr 2026 - 19:46

81

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Upper bounds on the determinant of an "almost"-Toeplitz-Hessenberg matrix

Published on 25 Mar 2026 - 5:06

82

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Roller coaster quiz (to be solved with the determinant and affine plane)

Published on 26 Mar 2026 - 18:41

49

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$T(A)=BA$ for every $A\in \mathbb{R}^{n\times n}$ prove\disprove that if $T$ is not isomorphism then $\det(B)=0$

Published on 25 Mar 2026 - 16:20

245

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How do you rewrite a determinant of a matrix into a polynomial by induction?

Published on 31 Mar 2026 - 10:02

495

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Determine the determinant of a companion matrix

Published on 31 Mar 2026 - 23:45

103

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Can diagonalization of a positive definite matrix be used to compute its determinant and inverse?

Published on 27 Mar 2026 - 7:18

1.9k

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How to put a system in the form x' = Ax + Bu

Published on 26 Jan 2020 - 21:23

133

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Trace-Determinant Plane

Published on 28 Mar 2026 - 13:22

184

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$ A^2 - B^2 = I_{2n+1} \implies det(AB-BA)=0 $ where A,B are complex matrices of odd size

Published on 25 Mar 2026 - 6:05

25

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Limit & Natural log of determinant.

Published on 28 Jan 2020 - 15:06

105

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Determinant and inverse of $M + M^T$ for a specific $M$.

Published on 01 Apr 2026 - 3:43

84

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Computation of the $2n$-th order determinant

Published on 02 Apr 2026 - 5:57

175

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Homogeneous products of variables

Published on 27 Mar 2026 - 9:13

146

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Evaluating Determinants by Row Reduction

Published on 30 Jan 2020 - 15:15

List Question

let $A,B$ matrices $n \times n$ and $A \ne B , AB=0$ and $A\ne 0 , B\ne0$ prove $\left|A\right|^2+\left|B\right|^2=0$

Upper bounds on the determinant of an "almost"-Toeplitz-Hessenberg matrix

Roller coaster quiz (to be solved with the determinant and affine plane)

$T(A)=BA$ for every $A\in \mathbb{R}^{n\times n}$ prove\disprove that if $T$ is not isomorphism then $\det(B)=0$

How do you rewrite a determinant of a matrix into a polynomial by induction?

Determine the determinant of a companion matrix

Can diagonalization of a positive definite matrix be used to compute its determinant and inverse?

How to put a system in the form x' = Ax + Bu

Trace-Determinant Plane

$ A^2 - B^2 = I_{2n+1} \implies det(AB-BA)=0 $ where A,B are complex matrices of odd size

Limit & Natural log of determinant.

Determinant and inverse of $M + M^T$ for a specific $M$.

Computation of the $2n$-th order determinant

Homogeneous products of variables

Evaluating Determinants by Row Reduction

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