Question

Standard form for the Characteristic Matrix/Polynomial

score 262 · Answer 1 · 2019-04-24 13:03:06

262

Views

Standard form for the Characteristic Matrix/Polynomial

Published on 24 Apr 2019 - 13:03

score 54 · Answer 2 · 2019-04-24 15:11:40

54

Views

split the set of Eigenvalues

Published on 24 Apr 2019 - 15:11

score 608 · Answer 3 · 2026-03-27 10:46:22

608

Views

Diagonizability of $n \times n$ matrix with two distinct eigenvalues and eigenspace dimension $n-1$

Published on 27 Mar 2026 - 10:46

score 45 · Answer 4 · 2026-03-26 09:42:30

45

Views

are the vectors obtained from PCA of a non-negative matrix always non-negative?

Published on 26 Mar 2026 - 9:42

score 2.8k · Answer 5 · 2026-02-23 07:08:39

2.8k

Views

Properties of outer product of two unit vectors? Why is there only one non-zero eigenvalue for such a matrix?

Published on 23 Feb 2026 - 7:08

score 21 · Answer 6 · 2026-03-30 15:36:13

21

Views

Is it possible to find the Eigenvalues of a square matrix by reducing it into echelon form then finding what values lead to a 0 in the diagonal?

Published on 30 Mar 2026 - 15:36

score 143 · Answer 7 · 2026-03-30 04:23:12

143

Views

Operator with every complex number as an eigenvalue

Published on 30 Mar 2026 - 4:23

score 215 · Answer 8 · 2026-03-31 01:01:57

215

Views

Equations for vanishing set of ideal in coordinate ring.

Published on 31 Mar 2026 - 1:01

score 2.3k · Answer 9 · 2026-03-25 12:53:24

2.3k

Views

Why do real positive eigenvalues result in an unstable system? What about eigenvalues between 0 and 1? or 1?

Published on 25 Mar 2026 - 12:53

score 2.1k · Answer 10 · 2026-03-25 07:42:53

2.1k

Views

If $A$ and $B$ are commuting Hermitian matrices, then they have the same eigenvectors?

Published on 25 Mar 2026 - 7:42

score 41 · Answer 11 · 2026-03-26 07:57:29

41

Views

Change the coefficients in matrix decomposition

Published on 26 Mar 2026 - 7:57

score 60 · Answer 12 · 2026-03-28 10:16:28

60

Views

Jordan normal as transformation with respect to the basis of eigenvectors

Published on 28 Mar 2026 - 10:16

score 86 · Answer 13 · 2019-04-26 02:53:47

86

Views

Find the characteristic polynomial of $T(A) = BA$, and prove $T$ is diagonalizable iff $B$ is

Published on 26 Apr 2019 - 2:53

score 1.5k · Answer 14 · 2019-04-26 07:13:25

1.5k

Views

Prove there exist a non-zero vector $v$ such that $Av=v$.

Published on 26 Apr 2019 - 7:13

score 707 · Answer 15 · 2026-03-25 17:45:07

707

Views

Is there any relation between an eigenvector of $A$ and the eigenvector of $A^T$ with the same eigenvalue?

Published on 25 Mar 2026 - 17:45

List Question

Standard form for the Characteristic Matrix/Polynomial

split the set of Eigenvalues

Diagonizability of $n \times n$ matrix with two distinct eigenvalues and eigenspace dimension $n-1$

are the vectors obtained from PCA of a non-negative matrix always non-negative?

Properties of outer product of two unit vectors? Why is there only one non-zero eigenvalue for such a matrix?

Is it possible to find the Eigenvalues of a square matrix by reducing it into echelon form then finding what values lead to a 0 in the diagonal?

Operator with every complex number as an eigenvalue

Equations for vanishing set of ideal in coordinate ring.

Why do real positive eigenvalues result in an unstable system? What about eigenvalues between 0 and 1? or 1?

If $A$ and $B$ are commuting Hermitian matrices, then they have the same eigenvectors?

Change the coefficients in matrix decomposition

Jordan normal as transformation with respect to the basis of eigenvectors

Find the characteristic polynomial of $T(A) = BA$, and prove $T$ is diagonalizable iff $B$ is

Prove there exist a non-zero vector $v$ such that $Av=v$.

Is there any relation between an eigenvector of $A$ and the eigenvector of $A^T$ with the same eigenvalue?

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