Question

link between Normal operator and set of linearly independent vectors.

score 31 · Answer 1 · 2026-03-25 11:02:20

31

Views

link between Normal operator and set of linearly independent vectors.

Published on 25 Mar 2026 - 11:02

score 661 · Answer 2 · 2018-06-22 23:37:21

661

Views

Similar matrices have same engenvalues $\implies$ we can define characteristic polynomial for any basis

Published on 22 Jun 2018 - 23:37

score 206 · Answer 3 · 2026-03-25 04:43:28

206

Views

How to find the spectral decomposition of $A\otimes A + B\otimes B$ without forming the Kronecker product?

Published on 25 Mar 2026 - 4:43

score 230 · Answer 4 · 2026-03-29 12:41:16

230

Views

Find matrices that commute with $\operatorname{Diag}(1,1,-1)$.

Published on 29 Mar 2026 - 12:41

score 35 · Answer 5 · 2018-06-23 14:07:05

35

Views

Show that there is eigenvector that all composition is real number

Published on 23 Jun 2018 - 14:07

score 715 · Answer 6 · 2018-06-23 16:36:16

715

Views

Prove that there exists $\alpha \in \mathbb{F}$ such that $|\alpha - \lambda| < \frac{1}{1000}$ and $T-\alpha I$ is invertible

Published on 23 Jun 2018 - 16:36

score 257 · Answer 7 · 2026-03-27 23:01:31

257

Views

Prove that a regular probability matrix, aka a left stochastic matrix, has only one linearly independent eigenvector where $\lambda = 1$

Published on 27 Mar 2026 - 23:01

score 1.3k · Answer 8 · 2026-03-25 12:16:59

1.3k

Views

Multiplying a matrix with its eigenvectors stretches or contracts the vector without changing its "direction". Is this true for complex eigenvalues?

Published on 25 Mar 2026 - 12:16

score 146 · Answer 9 · 2018-06-25 05:36:03

146

Views

Weyl's law asymptotic order confusion

Published on 25 Jun 2018 - 5:36

score 27.5k · Answer 10 · 2026-03-27 14:22:25

27.5k

Views

How to prove that if the determinant of the matrix is zero then at least one eigenvalue must be zero?

Published on 27 Mar 2026 - 14:22

score 86 · Answer 11 · 2018-06-25 19:23:13

86

Views

Properties of specific matrix

Published on 25 Jun 2018 - 19:23

score 5k · Answer 12 · 2018-06-25 21:35:43

5k

Views

Find eigenvalue of a matrix that have all diagonal elements are zeros

Published on 25 Jun 2018 - 21:35

score 254 · Answer 13 · 2026-03-27 16:03:53

254

Views

Simplifying the determinant of a $3×3$ matrix

Published on 27 Mar 2026 - 16:03

score 411 · Answer 14 · 2026-03-22 22:32:22

411

Views

Can one describe the algebraic multiplicity in terms of generalized eigenspaces and the minimal polynomial?

Published on 22 Mar 2026 - 22:32

score 59 · Answer 15 · 2026-03-30 22:00:50

59

Views

Determine if T can be diagonalized (in $\mathbb C$ and $\mathbb R $)

Published on 30 Mar 2026 - 22:00

List Question

link between Normal operator and set of linearly independent vectors.

Similar matrices have same engenvalues $\implies$ we can define characteristic polynomial for any basis

How to find the spectral decomposition of $A\otimes A + B\otimes B$ without forming the Kronecker product?

Find matrices that commute with $\operatorname{Diag}(1,1,-1)$.

Show that there is eigenvector that all composition is real number

Prove that there exists $\alpha \in \mathbb{F}$ such that $|\alpha - \lambda| < \frac{1}{1000}$ and $T-\alpha I$ is invertible

Prove that a regular probability matrix, aka a left stochastic matrix, has only one linearly independent eigenvector where $\lambda = 1$

Multiplying a matrix with its eigenvectors stretches or contracts the vector without changing its "direction". Is this true for complex eigenvalues?

Weyl's law asymptotic order confusion

How to prove that if the determinant of the matrix is zero then at least one eigenvalue must be zero?

Properties of specific matrix

Find eigenvalue of a matrix that have all diagonal elements are zeros

Simplifying the determinant of a $3×3$ matrix

Can one describe the algebraic multiplicity in terms of generalized eigenspaces and the minimal polynomial?

Determine if T can be diagonalized (in $\mathbb C$ and $\mathbb R $)

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