What is the Matrix Version of the Multivariable Chain Rule?

[Benny]

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.

 

[BobG]

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.

 

[arildno]

I would think OP is referring to the multivariable version of the chain rule.

 

[Benny]

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.