What is the Matrix Version of the Multivariable Chain Rule?

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Homework Help Overview

The discussion revolves around the matrix version of the multivariable chain rule, with participants exploring its theoretical aspects and examples. The original poster seeks resources to better understand this topic, as their current materials do not cover it adequately.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the application of the chain rule to functions, vectors, and matrices, with some questioning the original poster's specific request regarding the multivariable context.

Discussion Status

The conversation is ongoing, with the original poster indicating they have found some information and may pose further questions. There is no explicit consensus yet, but participants are engaging with the topic and clarifying their understanding.

Contextual Notes

The original poster notes that their current textbooks do not cover the matrix version of the chain rule, which may limit the information available for discussion.

Benny
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Hi, does anyone know of any websites which have some theory and perhaps some examples of the matrix version of the chain rule. Neither of the books I have covers this particular topic so I'd like to read up on it. Any help would be appreciated thanks.
 
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I'm not quite sure what you're asking for.

If you have a function with several terms (ax^2 + bx + c, for example), you apply the chain rule to each term separately. If you have a vector, you apply the chain rule to each component separately. If you have a matrix, you apply the chain rule to each element separately.
 
I would think OP is referring to the multivariable version of the chain rule.
 
I should've made it more clear that I was referring to the multivariable chain rule. I've managed to find something about it and I might post some questions if I find some I can't work out. Thanks anyway.
 

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