- How to prove $\\operatorname{Tr}(AB) = \\operatorname{Tr}(BA)$?
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
- $A^2=AB+BA$. Prove that $\\det(AB-BA)=0$ - Mathematics Stack Exchange
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 get it? Instead, you can save this post to reference later
- 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,
- How many $4$-digit palindromes are divisible by $3$?
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 have done is listed out lots of numbers that work I haven't developed a nice technique for this yet
- 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
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 question, but I can find little information about it Thanks
- sequences and series - The Perfect Sharing Algorithm (ABBABAAB . . .
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 (ABBABAAB)
- Find a generating function for the number of strings
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 justification, the total number of strings of ten letters, each of which is A A or B B, that do not include the consecutive letters ABBA A B B A
|