Help taking a cross product of a matrix

[joshmccraney]

hey all

well the title says it all. if i want to take the cross product of two matrices, how do i do it? any help, advice, etc. is very appreciated!

thanks

 

[CompuChip]

I don't think there's a standard definition for the cross product of two matrices. How do you think that would work, or what would it mean (e.g. the cross product of two vectors gives a vector perpendicular to both; what would the cross product of two linear transformations be)?

 

[SteamKing]

I'll take a stab: why do you want to take the cross product of two matrices, assuming such an animal exists?

 

[joshmccraney]

hey guys! ok, so let me explain the situation: im in a graduate fluid mechanics course and we are dealing with tensors, which are matrices. my professor was reviewing div, del, grad, and the rest of the operators with the kronecker delta and permutation epsilon. he did mention crossing two tensors! he also mentions "dotting" or taking the dot product, of two tensors. but it seems if this is not a "thing" maybe he will elaborate in tomorrow's lecture?

thanks for both your helps! this explains why google couldnt really help me either