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Truly lost here, i know abba could look anything like 1221 or even 9999 I know that if a number is divisible by $3$, then the sum of its digits is divisible by $3$ However how do i prove 11 divides all of the possiblities?
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You'll need to complete a few actions and gain 15 reputation points before being able to upvote I'm trying to figure this one out Upvoting indicates when questions and answers are useful
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Instead, you can save this post to reference later. You then take this entire sequence and repeat the process (abbabaab). I do realize that the method that you show in your post is more powerful than what i presented 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
Prove that $a^a \\ b^b \\ge a^b \\ b^a$, if both $a$ and $b$ are positive. Let $a,b$ be two $3\times 3$ matrices with complex entries, such that $a^2=ab+ba$ To gain full voting privileges,
