No problem, glad I could help! Keep up the good work in your studies.

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The discussion centers on the confusion regarding the computation of a Vandermonde Determinant. It clarifies that there is no "Vandermonde determinant" for arbitrary matrices, but rather a specific "Vandermonde matrix" with a well-known determinant. A reliable resource for understanding this concept is provided. The original poster expresses gratitude for the clarification and confirms their understanding of the topic. The exchange highlights the importance of distinguishing between types of matrices in determinant calculations.
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Hi!

I'm a bit confused on how I would compute a Vandermonde Determinant to a matrix. Is there a set formula I need to memorize? Any help would be appreciated. Maybe even a reliable link that could give me a step by step procedure on how to compute this?
 
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I am not sure what you mean. There is no such thing as "a Vandermonde determinant" of an arbitrary matrix. There is a special matrix, the "Vandermonde matrix", whose determinant comes up in some places, so it is a well-known quantity. See e.g. http://www.proofwiki.org/wiki/Vandermonde_Determinant.
 
Landau said:
I am not sure what you mean. There is no such thing as "a Vandermonde determinant" of an arbitrary matrix. There is a special matrix, the "Vandermonde matrix", whose determinant comes up in some places, so it is a well-known quantity. See e.g. http://www.proofwiki.org/wiki/Vandermonde_Determinant.

Hi Landau,

Thanks for the reply! Fortunately, I now understand the Vandermonde Determinant. I learned it on my own last night. And yes! I also understand that it isn't just for any matrix! Your reply is much appreciated. Thank you!
 
I am studying the mathematical formalism behind non-commutative geometry approach to quantum gravity. I was reading about Hopf algebras and their Drinfeld twist with a specific example of the Moyal-Weyl twist defined as F=exp(-iλ/2θ^(μν)∂_μ⊗∂_ν) where λ is a constant parametar and θ antisymmetric constant tensor. {∂_μ} is the basis of the tangent vector space over the underlying spacetime Now, from my understanding the enveloping algebra which appears in the definition of the Hopf algebra...

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