Question

Does this matrix and its inverse have the same zero entries?

score 98 · Answer 1 · 2023-08-22 14:34:37

98

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Does this matrix and its inverse have the same zero entries?

Published on 22 Aug 2023 - 14:34

score 56 · Answer 2 · 2023-08-24 17:37:34

56

Views

Is there a way to describe the map from $\mathbb Z^{n}$ to ${\rm Span}_{\mathbb Z} \{ Q(\mathbb Z^{n}), Q^{-1}(\mathbb Z^{n})\} $ using Q?

Published on 24 Aug 2023 - 17:37

score 28 · Answer 3 · 2023-08-29 06:43:24

28

Views

Strucure of a specific almost tridiagonal matrix and its kernel

Published on 29 Aug 2023 - 6:43

score 20 · Answer 4 · 2023-08-29 09:57:08

20

Views

There is a Hermitian matrix that can be decomposed into eigenvalues, and I hope to express the decomposed eigenvalue matrix in the form of a formula.

Published on 29 Aug 2023 - 9:57

score 106 · Answer 5 · 2023-08-31 13:41:10

106

Views

Matrix power of eigenvalue decomposition: why do we only need to apply the exponent to diagonal matrix?

Published on 31 Aug 2023 - 13:41

score 61 · Answer 6 · 2023-08-31 16:19:11

61

Views

A constructive proof of the Cartan–Dieudonné Theorem via QR decomposition using Householder reflections

Published on 31 Aug 2023 - 16:19

score 42 · Answer 7 · 2026-02-24 22:44:34

42

Views

Fastest way to implement shift multiply accumulate operation for a large array

Published on 24 Feb 2026 - 22:44

score 28 · Answer 8 · 2026-03-28 17:25:45

28

Views

First step of SVD changes basis of domain to basis such that...

Published on 28 Mar 2026 - 17:25

score 125 · Answer 9 · 2026-03-30 10:36:43

125

Views

Algorithm for Deciding if a Quadratic Form is Positive Definite

Published on 30 Mar 2026 - 10:36

score 71 · Answer 10 · 2023-09-03 23:29:27

71

Views

Geometric Interpretation of Matrices with Repeated Nonzero Singular Values

Published on 03 Sep 2023 - 23:29

score 42 · Answer 11 · 2023-09-04 14:30:13

42

Views

Efficient inversion of Cholesky decomposed matrix

Published on 04 Sep 2023 - 14:30

score 105 · Answer 12 · 2023-09-06 04:53:57

105

Views

QR decomposition of rectangular matrix where rows less than columns

Published on 06 Sep 2023 - 4:53

score 173 · Answer 13 · 2026-03-25 19:03:22

173

Views

Proof of Eckart-Young Theorem (Mathematics for Machine Learning, Deisenroth)

Published on 25 Mar 2026 - 19:03

score 50 · Answer 14 · 2026-03-25 11:13:29

50

Views

Constructing diagonalizable matricies such that matrix exponential of their product is easy to compute.

Published on 25 Mar 2026 - 11:13

score 73 · Answer 15 · 2023-09-08 15:32:21

73

Views

Truncated QR decomposition update (column deletion):

Published on 08 Sep 2023 - 15:32

List Question

Does this matrix and its inverse have the same zero entries?

Is there a way to describe the map from $\mathbb Z^{n}$ to ${\rm Span}_{\mathbb Z} \{ Q(\mathbb Z^{n}), Q^{-1}(\mathbb Z^{n})\} $ using Q?

Strucure of a specific almost tridiagonal matrix and its kernel

There is a Hermitian matrix that can be decomposed into eigenvalues, and I hope to express the decomposed eigenvalue matrix in the form of a formula.

Matrix power of eigenvalue decomposition: why do we only need to apply the exponent to diagonal matrix?

A constructive proof of the Cartan–Dieudonné Theorem via QR decomposition using Householder reflections

Fastest way to implement shift multiply accumulate operation for a large array

First step of SVD changes basis of domain to basis such that...

Algorithm for Deciding if a Quadratic Form is Positive Definite

Geometric Interpretation of Matrices with Repeated Nonzero Singular Values

Efficient inversion of Cholesky decomposed matrix

QR decomposition of rectangular matrix where rows less than columns

Proof of Eckart-Young Theorem (Mathematics for Machine Learning, Deisenroth)

Constructing diagonalizable matricies such that matrix exponential of their product is easy to compute.

Truncated QR decomposition update (column deletion):

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