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Determinant of a 4x4 matrix with trigonometric functions

score 1.3k · Answer 1 · 2014-12-18 21:28:54

1.3k

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Determinant of a 4x4 matrix with trigonometric functions

Published on 18 Dec 2014 - 21:28

score 179 · Answer 2 · 2026-03-28 01:46:07

179

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How to simplify $\det(M)=\det(A^T A)$ for rectangular $A=BC$, with square diagonal $B$ and rectangular $C$ with orthonormal columns?

Published on 28 Mar 2026 - 1:46

score 68 · Answer 3 · 2014-12-20 00:21:02

68

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Exponential restricts to special linear matrices

Published on 20 Dec 2014 - 0:21

score 119 · Answer 4 · 2014-12-21 18:57:06

119

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What is the determinant of matrix?

Published on 21 Dec 2014 - 18:57

score 1.4k · Answer 5 · 2014-12-22 06:43:39

1.4k

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Prove an upper bound for the determinant of a matrix A

Published on 22 Dec 2014 - 6:43

score 89 · Answer 6 · 2014-12-22 18:25:22

89

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Proof If $A_{2x2}$ and $\lambda$ real number then $|\lambda I-A|=\lambda^2-(\operatorname{tr}A) \lambda+|A|$

Published on 22 Dec 2014 - 18:25

score 156 · Answer 7 · 2014-12-23 02:47:59

156

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$P$ is an matrix invertible Proof $|\lambda I-PBP^{-1}|=|\lambda I -B|$

Published on 23 Dec 2014 - 2:47

score 3.3k · Answer 8 · 2014-12-23 14:19:21

3.3k

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Proof If $AB-I$ Invertible then $BA-I$ invertible.

Published on 23 Dec 2014 - 14:19

score 747 · Answer 9 · 2014-12-23 21:21:32

747

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Prove that $\det(A^2 + A + xI) = x$

Published on 23 Dec 2014 - 21:21

score 446 · Answer 10 · 2014-12-25 01:55:18

446

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Square block matrix, with Hermitian, non-negative definite blocks, prove that the matrix is also non-negative definite,

Published on 25 Dec 2014 - 1:55

score 745 · Answer 11 · 2014-12-25 12:31:04

745

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Determining $\det(\mathbf{A})$ using the characteristic polynomial

Published on 25 Dec 2014 - 12:31

score 1k · Answer 12 · 2014-12-26 11:41:51

1k

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Determinant of matrix whose entries are cosines

Published on 26 Dec 2014 - 11:41

score 2.9k · Answer 13 · 2014-12-28 18:04:21

2.9k

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Relation between norm and determinant of a linear operator

Published on 28 Dec 2014 - 18:04

score 112 · Answer 14 · 2014-12-28 19:55:21

112

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Problem understanding proof involving determinant

Published on 28 Dec 2014 - 19:55

score 2.8k · Answer 15 · 2026-03-29 14:25:22

2.8k

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Drawing a tetrahedron from a parellelepiped to convince myself it is 1/6th the volume,

Published on 29 Mar 2026 - 14:25

List Question

Determinant of a 4x4 matrix with trigonometric functions

How to simplify $\det(M)=\det(A^T A)$ for rectangular $A=BC$, with square diagonal $B$ and rectangular $C$ with orthonormal columns?

Exponential restricts to special linear matrices

What is the determinant of matrix?

Prove an upper bound for the determinant of a matrix A

Proof If $A_{2x2}$ and $\lambda$ real number then $|\lambda I-A|=\lambda^2-(\operatorname{tr}A) \lambda+|A|$

$P$ is an matrix invertible Proof $|\lambda I-PBP^{-1}|=|\lambda I -B|$

Proof If $AB-I$ Invertible then $BA-I$ invertible.

Prove that $\det(A^2 + A + xI) = x$

Square block matrix, with Hermitian, non-negative definite blocks, prove that the matrix is also non-negative definite,

Determining $\det(\mathbf{A})$ using the characteristic polynomial

Determinant of matrix whose entries are cosines

Relation between norm and determinant of a linear operator

Problem understanding proof involving determinant

Drawing a tetrahedron from a parellelepiped to convince myself it is 1/6th the volume,

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