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  1. 11 | abba, where a and b are the digits in a 4 digit number.

    Nov 21, 2013 · Truly lost here, I know abba could look anything like 1221 or even 9999. However how do I prove 11 divides all of the possiblities?

  2. How many ways can we get 2 a's and 2 b's from aabb?

    Because abab is the same as aabb. I was how to solve these problems with the blank slot method, i.e. _ _ _ _. If I do this manually, it's clear to me the answer is 6, aabb abab abba …

  3. Matrices - Conditions for $AB+BA=0$ - Mathematics Stack Exchange

    There must be something missing since taking $B$ to be the zero matrix will work for any $A$.

  4. matrices - When will $AB=BA$? - Mathematics Stack Exchange

    Aug 29, 2013 · Given two square matrices $A,B$ with same dimension, what conditions will lead to this result? Or what result will this condition lead to? I thought this is a quite ...

  5. linear algebra - Does $\det (A + B) = \det (A) + \det (B)$ hold ...

    Can there be said anything about det(A + B) det (A + B)? If A/B A / B are symmetric (or maybe even of the form λI λ I) - can then things be said?

  6. 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 …

  7. If eigenvalues are positive, is the matrix positive definite?

    This question does a great job of illustrating the problem with thinking about these things in terms of coordinates. The thing that is positive-definite is not a matrix M M but the quadratic form x ↦ …

  8. sequences and series - The Perfect Sharing Algorithm (ABBABAAB ...

    Oct 4, 2016 · 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 …

  9. 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.

  10. Uncountable vs Countable Infinity - Mathematics Stack Exchange

    My friend and I were discussing infinity and stuff about it and ran into some disagreements regarding countable and uncountable infinity. As far as I understand, the list of all natural …