Matrices - Conditions for $AB+BA=0$ - Mathematics Stack Exchange
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$A^2=AB+BA$. Prove that $\det (AB-BA)=0$ [duplicate]
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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.
How many $4$-digit palindromes are divisible by $3$?
Feb 28, 2018 · How many $4$-digit palindromes are divisible by $3$? I'm trying to figure this one out. I know that if a number is divisible by $3$, then the sum of its digits is divisible by $3$. All I …
How to show that $A^2=AB+BA$ implies $\det (AB-BA)=0$ for …
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 …
Is $AB+BA$ positive definite too if $A$ and $B$ are positive definite?
Jun 13, 2013 · 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 …
Card Matching Problem (Expected number of moves)
You are given a shuffled deck of 10 cards: 5 diamonds and 5 hearts, each suit containing one card labelled 1 through 5. All cards lie face-down, and you begin a “move” by flipping two …
sequences and series - The Perfect Sharing Algorithm (ABBABAAB ...
Oct 4, 2016 · AB -> ABBA -> ABBABAAB ... This allowed me to get a computer to achieve the algorithm in many ways, but it also raised some questions. Question 1: Can I repeat this …
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 …
Find a generating function for the number of strings
May 13, 2016 · I do realize that the method that you show in your post is more powerful than what I presented. Otherwise with non-trivial words you have to construct a DFA from the prefixes of …