Comparing Two Matrices: Same or Different?

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The discussion centers on comparing two matrices to determine if they are the same or different. The key point is that the interpretation of the operations represented by "^" and "\cdot" is crucial for understanding the matrices' equivalence. Without a clear definition of these operations, it is impossible to definitively conclude whether the matrices are identical. Participants emphasize the importance of context in mathematical notation. Clarifying these definitions is essential for accurate comparison.
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Are these the same thing?
http://upit.cc/i/4bf14079.png

...

and are these the same thing?
http://upit.cc/i/3ee58679.png

thanks everyone and god bless
~me
 
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That would depend upon exactly how "^" and "\cdot" are defined in your text.
 
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