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Define the Duality Principal and Multiplying Matrices of Differing Size

1) Please explain in your own words the duality principle.
2) The biggest problem I have with matrices is the multiplication. I get them right but I believe the confusion comes from the way it is set up. To be more clear the way it is set up as far as the rows and columns. If it is a 3 x 2 times a 4 x 3 it can become somewhat confusing. This is for multiplication only. Do you have any suggestions for me that might help?


Solution Summary

Duality principal is defined and the multiplying of matrices of different sizes is discussed. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.