Associativity of Hadamard and matrix product

  • Thread starter Thread starter Zoli
  • Start date Start date
  • Tags Tags
    Matrix Product
Zoli
Messages
19
Reaction score
0
Hi,

Let us suppose we have three real matrices A, B, C and let \circ denote the Hadamard product, while AB is the conventional matrix product. Is this relation true for all A, B, C matrices:
C \circ (AB) = A( C\circ B)?
I looked at it more thoroughly and I realized that this assumption is not true. But then what relation can be created between matrix product and Hadamard product?
Thanks,
Zoli
 
Last edited:
Physics news on Phys.org
Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 
I couldn't solve it, so the post can be reworded.
 

Thread 'Trouble understanding an online solution to an exercise in Dummit & Foote'

##\textbf{Exercise 10}:## I came across the following solution online: Questions: 1. When the author states in "that ring (not sure if he is referring to ##R## or ##R/\mathfrak{p}##, but I am guessing the later) ##x_n x_{n+1}=0## for all odd $n$ and ##x_{n+1}## is invertible, so that ##x_n=0##" 2. How does ##x_nx_{n+1}=0## implies that ##x_{n+1}## is invertible and ##x_n=0##. I mean if the quotient ring ##R/\mathfrak{p}## is an integral domain, and ##x_{n+1}## is invertible then...
View full post »

Thread 'Questions about non existence of GCDs vs (coimages, cokernels)'

The following are taken from the two sources, 1) from this online page and the book An Introduction to Module Theory by: Ibrahim Assem, Flavio U. Coelho. In the Abelian Categories chapter in the module theory text on page 157, right after presenting IV.2.21 Definition, the authors states "Image and coimage may or may not exist, but if they do, then they are unique up to isomorphism (because so are kernels and cokernels). Also in the reference url page above, the authors present two...
View full post »

Thread 'Decomposition into irreps of compact Lie group'

When decomposing a representation ##\rho## of a finite group ##G## into irreducible representations, we can find the number of times the representation contains a particular irrep ##\rho_0## through the character inner product $$ \langle \chi, \chi_0\rangle = \frac{1}{|G|} \sum_{g\in G} \chi(g) \chi_0(g)^*$$ where ##\chi## and ##\chi_0## are the characters of ##\rho## and ##\rho_0##, respectively. Since all group elements in the same conjugacy class have the same characters, this may be...
View full post »

Similar threads

Hermitian of product of two matrices
Replies
2
Views
4K
I Consistent matrix index notation when dealing with change of basis
Replies
12
Views
2K
A The meaning of ##(ict, x_1,x_2,x_3)##
Replies
4
Views
2K
A 4th order tensor inverse and double dot product computation
Replies
1
Views
4K
I Generalized Eigenvalues of Pauli Matrices
Replies
1
Views
1K
Understanding Matrix Multiplication: A Vector-Based Explanation
Replies
14
Views
3K
Image of a Matrix and symmetric matrix
Replies
3
Views
2K
MHB Rotations, Complex Matrices and Real Matrices - Proof of Tapp, Proposition 2.2
Replies
10
Views
3K
Kronecker product of infinite dimensional matrices
Replies
4
Views
4K
Some questions about invertibility of matrix products
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top