Usbrth

Patience, young "Padovan"

If Manufacturer spice model and Datasheet give different values which should I use?

A newer friend of my brother's gave him a load of baseball cards that are supposedly extremely valuable. Is this a scam?

Simulate Bitwise Cyclic Tag

Japan - Plan around max visa duration

I see my dog run

Why Is Death Allowed In the Matrix?

What defenses are there against being summoned by the Gate spell?

How can I fix this gap between bookcases I made?

What do you call a Matrix-like slowdown and camera movement effect?

How is it possible for user's password to be changed after storage was encrypted? (on OS X, Android)

Why is the design of haulage companies so “special”?

What is the offset in a seaplane's hull?

How does one intimidate enemies without having the capacity for violence?

The use of multiple foreign keys on same column in SQL Server

Why are 150k or 200k jobs considered good when there are 300k+ births a month?

Why doesn't Newton's third law mean a person bounces back to where they started when they hit the ground?

Circuitry of TV splitters

Is there really no realistic way for a skeleton monster to move around without magic?

Prevent a directory in /tmp from being deleted

How to calculate implied correlation via observed market price (Margrabe option)

Why CLRS example on residual networks does not follows its formula?

How to make payment on the internet without leaving a money trail?

Is there a minimum number of transactions in a block?

Condition for the eigenvectors to be same for two matrices.

Inequalities for Differences of Absolute Values of matricesWhat is known about the eigenvectors of random matrices?the eigenvectors of two different square matrices that have the same eigenvalueQuestions about eigenvectors and symmetric matricesTwo matrices with same eigenvectorsSymmetric Matrix , Eigenvectors are not orthogonal to the same eigenvalue.Are eigenvectors preserved by conjugating by a diagonal matrix?Inverse of a matrix which is difference of a singular matrix with a small diagonal matrix?Matrix product and eigen valuesCommon Eigenvector for product of matrices.

0

$begingroup$

Let L be the Laplacian matrix of an undirected graph(L is singular and real symmetric).

$B = ((M^TRM-P)^-1+D)^-1$ ,where M is the incidence matrix and B is non-singular and real symmetric.

$M^TM =$ L.

P, D, R are diagonal matrices.

While putting my values, Why do I get the eigenvectors of L and B to be almost the same?

What is the condition for two matrices to have the same eigenvectors?

matrices eigenvalues-eigenvectors matrix-equations symmetric-matrices

share|cite|improve this question

edited Apr 1 at 16:35

Abhiram V P

asked Apr 1 at 16:16

Abhiram V PAbhiram V P

275

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  Does $M'$ denote the transpose of $M$?
  $endgroup$
  – Brian
  Apr 1 at 16:22
  

  
  
  
  

add a comment | 

0

$begingroup$

Let L be the Laplacian matrix of an undirected graph(L is singular and real symmetric).

$B = ((M^TRM-P)^-1+D)^-1$ ,where M is the incidence matrix and B is non-singular and real symmetric.

$M^TM =$ L.

P, D, R are diagonal matrices.

While putting my values, Why do I get the eigenvectors of L and B to be almost the same?

What is the condition for two matrices to have the same eigenvectors?

matrices eigenvalues-eigenvectors matrix-equations symmetric-matrices

share|cite|improve this question

edited Apr 1 at 16:35

Abhiram V P

asked Apr 1 at 16:16

Abhiram V PAbhiram V P

275

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  Does $M'$ denote the transpose of $M$?
  $endgroup$
  – Brian
  Apr 1 at 16:22
  

  
  
  
  

add a comment | 

$begingroup$

Let L be the Laplacian matrix of an undirected graph(L is singular and real symmetric).

$B = ((M^TRM-P)^-1+D)^-1$ ,where M is the incidence matrix and B is non-singular and real symmetric.

$M^TM =$ L.

P, D, R are diagonal matrices.

While putting my values, Why do I get the eigenvectors of L and B to be almost the same?

What is the condition for two matrices to have the same eigenvectors?

matrices eigenvalues-eigenvectors matrix-equations symmetric-matrices

share|cite|improve this question

edited Apr 1 at 16:35

Abhiram V P

asked Apr 1 at 16:16

Abhiram V PAbhiram V P

275

$endgroup$

share|cite|improve this question

edited Apr 1 at 16:35

Abhiram V P

asked Apr 1 at 16:16

Abhiram V PAbhiram V P

275

share|cite|improve this question

edited Apr 1 at 16:35

Abhiram V P

asked Apr 1 at 16:16

Abhiram V PAbhiram V P

275

asked Apr 1 at 16:16

Abhiram V PAbhiram V P

275

asked Apr 1 at 16:16

Abhiram V PAbhiram V P

275