Question

Given the adjacency matrix, how to calculate laplacian spectrum

score 122 · Answer 1 · 2026-03-28 12:02:50

122

Views

Given the adjacency matrix, how to calculate laplacian spectrum

Published on 28 Mar 2026 - 12:02

score 48 · Answer 2 · 2026-04-10 20:19:06

48

Views

Relationship between eigenvalues of a square matrix and its transpose product

Published on 10 Apr 2026 - 20:19

score 94 · Answer 3 · 2026-04-10 02:04:32

94

Views

Relationship between a matrix with specific eigenvectors and eigenvalues

Published on 10 Apr 2026 - 2:04

score 374 · Answer 4 · 2026-03-26 19:17:09

374

Views

How to prove: if singular values equal the absolute values of eigenvalues then A is normal

Published on 26 Mar 2026 - 19:17

score 58 · Answer 5 · 2026-04-16 05:21:35

58

Views

If $A$ is a symmetric matrix, then can we write $\lambda_{min}(A)\|x\|^2 \leq x^TAx \leq \lambda_{max}(A)\|x\|^2$?

Published on 16 Apr 2026 - 5:21

score 424 · Answer 6 · 2026-04-16 14:09:40

424

Views

Obtain orthogonal "eigenvectors" for non-symmetric 2x2 matrix

Published on 16 Apr 2026 - 14:09

score 31 · Answer 7 · 2026-04-17 14:02:31

31

Views

$\sum_{i=1}^t \phi_i^T(\Lambda_t)^{-1}\phi_i \leq d$ where $\Lambda_t = \lambda I + \sum_{i=1}^{t} \phi_i \phi_i^T$

Published on 17 Apr 2026 - 14:02

score 303 · Answer 8 · 2026-04-11 09:35:50

303

Views

Finding second eigen vector using Power Method

Published on 11 Apr 2026 - 9:35

score 116 · Answer 9 · 2026-04-13 02:26:30

Prove there is a basis of $V$ with respect to which the matrix of $T$ has 0's everywhere in the first column, except possibly the first entry

score 34 · Answer 10 · 2026-04-14 18:44:52

34

Views

If $A$, $B$ are two $n \times n$ Hermitian matrices, when the eigenvalues of $A$ are larger than the eigenvalues of $B$?

Published on 14 Apr 2026 - 18:44

score 256 · Answer 11 · 2026-03-25 03:34:08

256

Views

Eigenvalues for a block matrix with Toeplitz tridiagonal sub-matrix

Published on 25 Mar 2026 - 3:34

score 914 · Answer 12 · 2026-04-11 12:30:34

914

Views

Diagonalizing a nearly-diagonal matrix

Published on 11 Apr 2026 - 12:30

score 103 · Answer 13 · 2026-03-28 00:49:29

103

Views

About the eigenvalues of real symmetric matrix

Published on 28 Mar 2026 - 0:49

score 36 · Answer 14 · 2026-04-07 20:52:14

36

Views

Confused on General Eigenvalue problem

Published on 07 Apr 2026 - 20:52

score 1.1k · Answer 15 · 2026-03-26 18:59:02

1.1k

Views

What does algebraic multiplicity mean for compact operators

Published on 26 Mar 2026 - 18:59

List Question

Given the adjacency matrix, how to calculate laplacian spectrum

Relationship between eigenvalues of a square matrix and its transpose product

Relationship between a matrix with specific eigenvectors and eigenvalues

How to prove: if singular values equal the absolute values of eigenvalues then A is normal

If $A$ is a symmetric matrix, then can we write $\lambda_{min}(A)\|x\|^2 \leq x^TAx \leq \lambda_{max}(A)\|x\|^2$?

Obtain orthogonal "eigenvectors" for non-symmetric 2x2 matrix

$\sum_{i=1}^t \phi_i^T(\Lambda_t)^{-1}\phi_i \leq d$ where $\Lambda_t = \lambda I + \sum_{i=1}^{t} \phi_i \phi_i^T$

Finding second eigen vector using Power Method

Prove there is a basis of $V$ with respect to which the matrix of $T$ has 0's everywhere in the first column, except possibly the first entry

If $A$, $B$ are two $n \times n$ Hermitian matrices, when the eigenvalues of $A$ are larger than the eigenvalues of $B$?

Eigenvalues for a block matrix with Toeplitz tridiagonal sub-matrix

Diagonalizing a nearly-diagonal matrix

About the eigenvalues of real symmetric matrix

Confused on General Eigenvalue problem

What does algebraic multiplicity mean for compact operators

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