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$A^2=AB+BA$. 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 - 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
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
How to show that - 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
Simplification of the sum of all 4-digit palindromic numbers I apologize for the simplicity of this question, if necessary I understand that the sum of all 4-digit palindromes is as follows: $$\sum_ {a=1}^ {9} (\sum_ {b=0}^ {9}abba),$$ which can be further expa