Discussion Overview
The discussion revolves around the concept of taking the cross product of two matrices, particularly in the context of fluid mechanics and tensor operations. Participants explore the definitions and implications of such an operation, questioning its validity and relevance.
Discussion Character
- Exploratory, Technical explanation, Conceptual clarification, Debate/contested
Main Points Raised
- One participant inquires about the method for taking the cross product of two matrices and seeks advice.
- Another participant expresses skepticism about the existence of a standard definition for the cross product of matrices, prompting a discussion on its potential meaning.
- A third participant questions the necessity of taking the cross product of matrices, suggesting that clarification on the intent behind the operation is needed.
- A later reply provides context by explaining that the inquiry arises from a graduate fluid mechanics course, where tensors (which can be represented as matrices) are discussed, including operations like the dot product and potentially the cross product.
- The same participant notes that their professor mentioned crossing two tensors, indicating that this may be a topic for further elaboration in class.
Areas of Agreement / Disagreement
Participants do not reach a consensus on the existence or definition of the cross product for matrices, and multiple competing views remain regarding its applicability and meaning.
Contextual Notes
The discussion highlights the ambiguity surrounding the operation of taking a cross product of matrices, particularly in relation to tensor operations, and the lack of established definitions in this context.