Operations Definition and 305 Threads

Greetings! I am asked to do the following: Simplify (A^{-1}B)^{-1}(C^{-1}A)^{-1}(B^{-1}C)^{-1} for (n x n) invertible matrices A B and C. You see, I was able to show that the result of this is simply the identity matrix I_n by selecting 3 (2x2) matrices A B and C that were invertible...

What are the Local operations and classical communication that i keep hearing about? It arises in quantum teleporting. Though i know that to perform quantum teleporting you need a classical channel (a phone line, an e-mail, etc) and I guess that classical communication refers to that, I still...

I understand why two of the three row operations do not change the solution set of a system: 1. Interchange two rows. (Doesn't make much difference in what order one decides to write down the linear equations does it?) 2. Multiply a row by a scalar. (This step doesn't change the solution...

[SOLVED] Binary Operations I believe I understand the critera to see of something is a "group" 1.It must be binary 2.It must be associative 3.Must contain a Identity 4.Must have a inverse My question is the how to read a problem. For example: All real numbers minus zero under the...

I came across this site: http://mally.stanford.edu/tutorial/sentential.html It lists four axioms of "sentential" logic. I first would like to know if there are other axioms not listed here. Wouldn't you need some axiom like if P is true, then ~P is false? It seems difficult to prove the law...