Question about algoritmics/maths

Hello, I have to make 20 questions. A few of them I don't know, can someone help?

1. What expression(s) is/are true?

 I. (A &&B) || ( A && B)

 II. (A || B) && ( A || B)

 III. (~(A || B)) || (A && B)

 IV. (~(A || B)) || (A && B)

2. Suppose (N*N)-matrices

[Shashank Prasanna]

Is this related to implementation in MATLAB?

[Jan]

The values of the results depend on the values of A and B. Therefore the question is not complete. "Suppose NxN matrices" is not meaningful also. Instead of letting us guess, what you want, although this might be successful, it is your turn to explain the problem exactly. Thanks.