Question

Showing that $\det(AB)=\det A \det B$ with the following identity.

score 1.5k · Answer 1 · 2026-04-09 18:09:07

1.5k

Views

Showing that $\det(AB)=\det A \det B$ with the following identity.

Published on 09 Apr 2026 - 18:09

score 282 · Answer 2 · 2026-04-12 04:58:29

282

Views

Show a matrix is invertible

Published on 12 Apr 2026 - 4:58

score 112 · Answer 3 · 2026-04-16 06:32:06

112

Views

Why don't all metrics have trivial determinant?

Published on 16 Apr 2026 - 6:32

score 68 · Answer 4 · 2026-04-16 00:55:01

68

Views

Rank of a matrix whose all entries have the form $m^k$

Published on 16 Apr 2026 - 0:55

score 627 · Answer 5 · 2026-03-26 04:30:38

627

Views

Why are 1 and -1 eigenvalues of this matrix?

Published on 26 Mar 2026 - 4:30

score 496 · Answer 6 · 2026-04-09 20:07:47

496

Views

Can one define wedge products using determinants for $n$-forms?

Published on 09 Apr 2026 - 20:07

score 145 · Answer 7 · 2026-04-13 05:42:51

145

Views

Determinant of a matrix with 2x2 blocks

Published on 13 Apr 2026 - 5:42

score 59.4k · Answer 8 · 2026-04-16 19:08:17

59.4k

Views

Show that any orthogonal matrix has determinant 1 or -1

Published on 16 Apr 2026 - 19:08

score 42k · Answer 9 · 2026-04-12 12:51:52

42k

Views

Show that a 2x2 matrix A is symmetric positive definite if and only if A is symmetric, trace(A) > 0 and det(A) > 0

Published on 12 Apr 2026 - 12:51

score 129 · Answer 10 · 2026-04-13 15:01:07

129

Views

Recursive equations with matrices, and a question about determinants in relation to power of matrices

Published on 13 Apr 2026 - 15:01

score 90 · Answer 11 · 2026-04-13 10:39:32

90

Views

Is the function that maps a matrix to the determinant of a submatrix continuous?

Published on 13 Apr 2026 - 10:39

score 19.9k · Answer 12 · 2026-04-14 05:45:05

19.9k

Views

Series expansion of the determinant for a matrix near the identity

Published on 14 Apr 2026 - 5:45

score 196 · Answer 13 · 2026-04-12 06:40:43

196

Views

Do we have $\det=e^1\wedge\cdots\wedge e^n$?

Published on 12 Apr 2026 - 6:40

score 1k · Answer 14 · 2026-04-15 08:45:34

1k

Views

$LDL^T$ decompositon of a symmetric matrix and a matrix determinant expression for the lower triangular entries

Published on 15 Apr 2026 - 8:45

score 83 · Answer 15 · 2026-04-09 17:18:17

83

Views

Need help with a determinant problem

Published on 09 Apr 2026 - 17:18

List Question

Showing that $\det(AB)=\det A \det B$ with the following identity.

Show a matrix is invertible

Why don't all metrics have trivial determinant?

Rank of a matrix whose all entries have the form $m^k$

Why are 1 and -1 eigenvalues of this matrix?

Can one define wedge products using determinants for $n$-forms?

Determinant of a matrix with 2x2 blocks

Show that any orthogonal matrix has determinant 1 or -1

Show that a 2x2 matrix A is symmetric positive definite if and only if A is symmetric, trace(A) > 0 and det(A) > 0

Recursive equations with matrices, and a question about determinants in relation to power of matrices

Is the function that maps a matrix to the determinant of a submatrix continuous?

Series expansion of the determinant for a matrix near the identity

Do we have $\det=e^1\wedge\cdots\wedge e^n$?

$LDL^T$ decompositon of a symmetric matrix and a matrix determinant expression for the lower triangular entries

Need help with a determinant problem

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