$A^2=AB+BA$. Prove that $\\det(AB-BA)=0$ - Mathematics Stack …
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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.
Matrices - Conditions for $AB+BA=0$ - Mathematics Stack Exchange
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 ...
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 …
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 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 …
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 …
$A,B$ be Hermitian.Is this true that $tr[(AB)^2]\\le tr(A^2B^2)$?
May 29, 2015 · Since B B is positive definite, MBM M B M is positive definite for any invertible M M, such as M A1/2 M = A 1 / 2. So, we see from the above that AB A B is similar to a positive …
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 …
random variables - probability of playing music player on shuffle …
1.How many sequences of 4 songs are there where no song plays twice in a row? If we label the songs {A, B, C, D}, then examples are ABCD and ABAB but not ABBA. For this problem I just …