6 votes
31
Find DFA for the following language$L=\left \{ ba^n : n>=1,n\neq 4 \right \}$
2 votes
32
Consider the regular language L = (111 + 111111)*. The minimum numberof states in any DFA accepting this language is :(A) 3 (B) 5(C) 8 (D) 9
0 votes
35
2 votes
39
using RSA algorithm Alice wishes to send a message m=439 to Bob. Alice choose a prime number p=31 and q=23,if he chooses a public key (223,713) what is the private key bo...
3 votes
41
Express each of statement using Logical operators , Predicates and Quantifiers a) The negation of a contradiction is a Tautology b) The disjunction of 2 contigencies can ...
30 votes
43
The proposition $p \wedge (\sim p \vee q)$ is:a tautologylogically equivalent to $p \wedge q$logically equivalent to $p \vee q$a contradictionnone of the above
15 votes
44
Which of the following propositions is a tautology?$(p \vee q) \rightarrow p$$p \vee (q \rightarrow p)$$p \vee (p \rightarrow q)$$p \rightarrow (p \rightarrow q)$
3 votes
47
3 votes
49
Let $\begin{pmatrix} -1 &2 \\ 0 & -1 \end{pmatrix}$,and $B=A+A^{2}+A^{3}+\dots +A^{50}$, then$B^{2}=I$ $B^{2}=0$ $B^{2}=A$ $B^{2}=B$...
20 votes
50
Find the inverse of the matrix $\begin{bmatrix} 1 & 0 & 1 \\ -1 & 1 & 1 \\ 0 & 1 & 0 \end{bmatrix}$
33 votes
51
Consider the following determinant $\Delta = \begin{vmatrix} 1 & a & bc \\ 1 & b & ca \\ 1 & c & ab \end{vmatrix}$Which of the following is a factor of $\Delta$?$a+b$$a-b...
19 votes
53
Obtain the eigen values of the matrix$$A=\begin {bmatrix} 1 & 2 & 34 & 49 \\ 0 & 2 & 43 & 94 \\ 0 & 0 & -2 & 104 \\ 0 & 0 & 0 & -1 \end{bmatrix}$$
29 votes
54
Which one of the following does NOT equal $$\begin{vmatrix} 1 & x & x^{2}\\ 1& y & y^{2}\\ 1 & z & z^{2} \end{vmatrix} \quad ?$$$\begin{vmatrix} 1& x(x+1)& x+1\\ 1& y(y+1...
24 votes
55
If the matrix $A$ is such that $$A= \begin{bmatrix} 2\\ −4\\7\end{bmatrix}\begin{bmatrix}1& 9& 5\end{bmatrix}$$ then the determinant of $A$ is equal to ______.
1 votes
56
if $A = \begin{bmatrix} 2 &3 &4 \\ 3 & -1 &2 \\ -1& 4 & 5 \end{bmatrix}$ then rank of the matrix $(A-A^T)$ is _____(A) $1$ (B) $2$ (C...
2 votes
57
Let A be a $3 \times 3$ matrix with integer entries such that $|A| =1$. What is the maximum possible number of entries of A that are even?
2 votes
59
$/* abc */Printf("what's \ up \ \%d",++ \&\& *a);$