Question

It is said that two matrices commute "if and only if" they share eigenvectors

score 354 · Answer 1 · 2018-03-21 21:08:29

354

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It is said that two matrices commute "if and only if" they share eigenvectors

Published on 21 Mar 2018 - 21:08

score 35 · Answer 2 · 2018-03-21 22:01:54

35

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Let A, B be invertible square matrices which are commutative.

Published on 21 Mar 2018 - 22:01

score 49 · Answer 3 · 2018-03-22 05:35:16

49

Views

What is the Eigen values λ in the given system?

Published on 22 Mar 2018 - 5:35

score 180 · Answer 4 · 2018-03-22 13:07:35

180

Views

Do non-diagonalizable matrices with same eigenvectors commute?

Published on 22 Mar 2018 - 13:07

score 82 · Answer 5 · 2018-03-22 13:44:11

82

Views

$A$ , an $n\times n$ matrix has $k$ distinct eigenvalues, then the matrix $A^m$ for some $m>=0$ has the same eigenvalues raised to $m$

Published on 22 Mar 2018 - 13:44

score 2.6k · Answer 6 · 2026-03-24 22:08:22

2.6k

Views

Is there a matrix $B$ such that $B^2=A$, with $A$ being diagonalizable?

Published on 24 Mar 2026 - 22:08

score 3.9k · Answer 7 · 2018-03-23 05:28:12

3.9k

Views

Prove three eigenvectors from three distinct eigenvalues are linearly independent

Published on 23 Mar 2018 - 5:28

score 986 · Answer 8 · 2026-03-25 01:24:02

986

Views

Let G be a graph with at most two distinct Eigenvalues. Show that G is Complete.

Published on 25 Mar 2026 - 1:24

score 3k · Answer 9 · 2026-03-25 21:47:55

3k

Views

If $P$ is a projection matrix then its eigenvalues are $0$ or $1$

Published on 25 Mar 2026 - 21:47

score 837 · Answer 10 · 2026-03-25 12:52:19

837

Views

Eigenvectors of companion matrix

Published on 25 Mar 2026 - 12:52

score 42 · Answer 11 · 2018-03-23 14:15:50

42

Views

Find eigenvalues of T : $P _2 ( R ) \to P _2 ( R )$ given by $( Tf )( t ) = tf ′ ( t ) + f (2) t + f (3)$

Published on 23 Mar 2018 - 14:15

score 249 · Answer 12 · 2026-03-26 12:46:24

249

Views

Real eigenvalues of continuum spectrum of a self-adjoint operator

Published on 26 Mar 2026 - 12:46

score 83 · Answer 13 · 2018-03-24 01:06:25

83

Views

Determine the matrix if we know eigenvalues and eigenvectors

Published on 24 Mar 2018 - 1:06

score 70 · Answer 14 · 2026-03-26 12:13:57

70

Views

Effects of linear transformation

Published on 26 Mar 2026 - 12:13

score 503 · Answer 15 · 2018-03-24 21:37:13

503

Views

Smallest and Largest Eigenvalues of a PSD Matrix

Published on 24 Mar 2018 - 21:37

List Question

It is said that two matrices commute "if and only if" they share eigenvectors

Let A, B be invertible square matrices which are commutative.

What is the Eigen values λ in the given system?

Do non-diagonalizable matrices with same eigenvectors commute?

$A$ , an $n\times n$ matrix has $k$ distinct eigenvalues, then the matrix $A^m$ for some $m>=0$ has the same eigenvalues raised to $m$

Is there a matrix $B$ such that $B^2=A$, with $A$ being diagonalizable?

Prove three eigenvectors from three distinct eigenvalues are linearly independent

Let G be a graph with at most two distinct Eigenvalues. Show that G is Complete.

If $P$ is a projection matrix then its eigenvalues are $0$ or $1$

Eigenvectors of companion matrix

Find eigenvalues of T : $P _2 ( R ) \to P _2 ( R )$ given by $( Tf )( t ) = tf ′ ( t ) + f (2) t + f (3)$

Real eigenvalues of continuum spectrum of a self-adjoint operator

Determine the matrix if we know eigenvalues and eigenvectors

Effects of linear transformation

Smallest and Largest Eigenvalues of a PSD Matrix

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