- $A^2=AB+BA$. Prove that $\\det(AB-BA)=0$ - Mathematics Stack Exchange
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- Matrices - Conditions for $AB+BA=0$ - Mathematics Stack Exchange
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- How to prove $\\operatorname{Tr}(AB) = \\operatorname{Tr}(BA)$?
The efficient @hjhjhj57: answer $$\text{Tr}(AB) = \text{Tr}(BA)= \sum a_{ij} b_{ji}$$ Now we can start to understand why if we do a circular permutation of the factors the expression
- matrices - When will $AB=BA$? - Mathematics Stack Exchange
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- How many $4$-digit palindromes are divisible by $3$?
There are $90$ four-digit palindromes from $1001;1111;1221;1331; $ to $9669;9779;9889;9999$ Any of these palindromes are divisible by $3$
- How to show that - Mathematics Stack Exchange
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- How to calculate total combinations for AABB and ABBB sets?
Although both belong to a much broad combination of N=2 and n=4 (AAAA, ABBA, BBBB ), where order matters and repetition is allowed, both can be rearranged in different ways: First one: AABB, BBAA, ABAB, BABA, ABBA, BAAB (6 possible combinations) Second one: ABBB, BABB, BBAB, BBBA (4 possible combinations)
- Find a generating function for the number of strings
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