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$A^2=AB+BA$. Prove that $\\det(AB-BA)=0$ - Mathematics …
You'll need to complete a few actions and gain 15 reputation points before being able to upvote. Upvoting indicates when questions and answers are useful. What's reputation and how do I …
How many $4$-digit palindromes are divisible by $3$?
Feb 28, 2018 · How many 4 4 -digit palindromes are divisible by 3 3? I'm trying to figure this one out. I know that if a number is divisible by 3 3, then the sum of its digits is divisible by 3 3. All I …
How to prove $\\operatorname{Tr}(AB) = \\operatorname{Tr}(BA)$?
Jan 11, 2015 · there is a similar thread here Coordinate-free proof of $\operatorname {Tr} (AB)=\operatorname {Tr} (BA)$?, but I'm only looking for a simple linear algebra proof.
Matrices - Conditions for $AB+BA=0$ - Mathematics Stack …
As long as a, b, c a, b, c are not all 0 0, this has rank 2 2, so there is a 2 2 -dimensional linear space of B B for which AB + BA = 0 A B + B A = 0 in this case. On ...
How to calculate total combinations for AABB and ABBB sets?
Apr 19, 2022 · 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 …
matrices - When will $AB=BA$? - Mathematics Stack Exchange
Aug 29, 2013 · Given two square matrices A, B A, B with same dimension, what conditions will lead to this result? Or what result will this condition lead to? I thought this is a quite simple …
Find a generating function for the number of strings
May 13, 2016 · The string AAABBAAABB A A A B B A A A B B is a string of ten letters, each of which is A A or B B, that does include the consecutive letters ABBA A B B A. Determine, with …
sequences and series - The Perfect Sharing Algorithm …
Oct 4, 2016 · The algorithm is normally created by taking AB, then inverting each 2-state 'digit' and sticking it on the end (ABBA). You then take this entire sequence and repeat the process …
How to show that - Mathematics Stack Exchange
Jan 26, 2015 · You'll need to complete a few actions and gain 15 reputation points before being able to upvote. Upvoting indicates when questions and answers are useful. What's reputation …
NFA construction problem - Mathematics Stack Exchange
Feb 10, 2015 · I need to construct an automaton that recognizes the following language of strings over the alphabet {a, b} {a, b}: The set of all strings over alphabet {a, b} {a, b} with the …