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1

MadeEasy Test Series: Linear Algebra - Matrices
If $A=\begin{bmatrix} cos \alpha & sin \alpha \\ -sin \alpha & cos \alpha \end{bmatrix}$ be such that $A +A ^{'}=I$ then the value of $\alpha$ is

answered in Linear Algebra Jan 9, 2018

675 views

2 votes

2

Linear Homogeneous Equation (Allen 2017)
Consider a system of equations (λ – a)x + 2y +3z = 0, x +2(λ – b) y + 3z = 0, x + 2y + 3(λ – c) z = 0, which has a non-trivial solution. Product of all values of λ for above system is (1) abc + a + b + c + 2 (2) abc + a + b + c – 2 (3) abc – a – b – c – 2 (4) abc – a – b – c + 2 Ans given is Option C. Can anyone explain the complete solution?

answered in Linear Algebra Dec 1, 2017

549 views

3 votes

3

Which of the following is NOT true?
$(a^+)^∗=(a^∗)^+$ $(a^+)^+=aa^+$ $(a^∗)^∗=a^∗$ $aa^+ +a=a^+$

answered in Theory of Computation Nov 13, 2017

1.5k views

0 votes

4

MadeEasy Subject Test: Theory of Computation - Regular Expressions

answered in Theory of Computation Nov 9, 2017

274 views

2 votes

5

Matrices
Consider the following matrix $A=\begin{bmatrix} a&a^{2} &a^{3}-1 \\ b& b^{2} &b^{3}-1 \\ c& c^{2}&c^{3}-1 \end{bmatrix}$ if $|A|=0$, then the value of $abc$ is _______________

answered in Linear Algebra Nov 7, 2017

725 views

3 votes

6

Aptitude
The sum of all the real roots of the equation $|x-2|^{2}+|x-2|-2=0$ is;

answered in Quantitative Aptitude Nov 6, 2017

237 views

4 votes

7

NUMBER OF STATES IN DFA

answered in Theory of Computation Nov 6, 2017

1.3k views

2 votes

8

UGC NET CSE | November 2017 | Part 2 | Question: 8
Let $P$ and $Q$ be two propositions $\neg (P \leftrightarrow Q)$ is equivalent to $P\leftrightarrow \neg Q$ $\neg P\leftrightarrow Q$ $\neg P \leftrightarrow \neg Q$ $Q\rightarrow P$

answered in Mathematical Logic Nov 5, 2017

1.6k views

1 vote

9

UGC NET CSE | November 2017 | Part 2 | Question: 4
How many distinguishable permutations of the letters in the word of BANANA are there? $720$ $120$ $60$ $360$

answered in Unknown Category Nov 5, 2017

584 views

6 votes

10

#DAG #Ullman
((x+y)-((x+y)*(x-y)))+((x+y)*(x-y)) Is this correct DAG for given expression ?

answered in Compiler Design Nov 2, 2017

6.2k views

7 votes

11

Discrete maths Combinatorics
How many ways can the letters $\{a,b,c,d,e\}$ be placed into $3$ identical boxes such that no box is empty?

answered in Combinatory Nov 1, 2017

382 views

4 votes

12

rank of matrix
If X=[x1 x2 x3… xn ]T is an n-tuple non-zero vector. Then m×n matrix V=XXT will be Is orthogonal Having a rank 1 . Having a rank n-1 Having a rank zero

answered in Mathematical Logic Nov 1, 2017

3.9k views

5 votes

13

No of states in finite automata whose string length is divisible by 3 or 8 ?
No of states in finite automata whose string length is divisible by 3 or8?

answered in Theory of Computation Nov 1, 2017

4.1k views

8 votes

14

ace test series
If $A=\left \{ 1,2,3 \right \}$, then number of relations possible on $A$, which are neither reflexive nor symmetric is _____________

answered in Set Theory & Algebra Nov 1, 2017

299 views

3 votes

15

Practice Set
The system of equation x + y + z = 1, 2x + 3y + 4z = 1 and 4x + 5y + 6z = 2 has (a) unique solution (b) infinite solution (c) no solution (d) none of these

answered in Linear Algebra Oct 31, 2017

345 views

0 votes

16

propositional logic
A) ((P->Q)->Q) ==> P V Q is given How i solved ((~P V Q)-->Q) ~(~P V Q) V Q (P and ~Q) V Q (P V Q) and ( ~Q VQ) (P V Q) and Q after this.. how to proceed? B) ( P <--> Q ) ==> (P and Q ) V ( ~p and ~Q)..............how ??

answered in Mathematical Logic Oct 10, 2017

372 views

2 votes

17

TOC: Number of states in minimum DFA
I think, there will be 4 states in minimum DFA, following states will be merged in the resulted DFA {q0&q3}, {q4&q5}, {q1&q6}, {q2&q7}

answered in Theory of Computation Oct 10, 2017

1.3k views

0 votes

18

min number of states
(a+b)*aa(a+b) mininum num of states to represent this

answered in Theory of Computation Oct 7, 2017

222 views

1 vote

19

Kenneth Rosen Edition 6th Exercise 7.1 Question 41 (Page No. 473)
How many of the 16 different relations on {0,1} contain the pair (0,1)?

answered in Combinatory Oct 7, 2017

619 views

0 votes

20

peter linzdfa
(4.d) dfa of L (((aa*)* b)*).

answered in Theory of Computation Oct 7, 2017

247 views

2 votes

21

BST search
Identify the correct sequence for searching 105 in a binary search tree? a. 500,250,190,220,150,120,105 b. 80,800,500,90,270,280,105 c. 20,30,80,200,90,120,105 d. 30,50,80,200,90,120,105 Plz help me.

answered in DS Oct 5, 2017

999 views

3 votes

22

Number of States in minimal DFA
How many states will have the minimal DFA accepting the language L={w|wϵ{0,1}* and contains atleast one 0 and two 1's} a) 6 b)7 c)8 d)12

answered in Theory of Computation Oct 5, 2017

497 views

0 votes

23

minimal DFA
construct the minimal DFA for the language L={ 3rd symbol from the R.H.S is 'a'} and ∈={a.b}.

answered in Theory of Computation Oct 2, 2017

512 views

0 votes

24

minimal DFA
construct the minimal DFA for the language L={ 3rd symbol from the R.H.S is 'a'} and ∈={a.b}.

answered in Theory of Computation Oct 2, 2017

512 views

3 votes

25

REGULAR GRAMMARS
if a is a terminal and S, A, B are three non-terminals, then which of the following are regular grammars? (a) S → ε, A → aS|b (b) A → aB|a, B → bA|b (c) A → Ba|Bab (d) A → abB|aB please explain how u proceed? The answer is given "b"

answered in Compiler Design Oct 1, 2017

2.7k views

5 votes

26

GATE Aptitude
Look at this series: 8, 6, 9, 23, 87, ... What number should come next? A. 128 B. 226 C. 324 D. 429

answered in Quantitative Aptitude Sep 30, 2017

598 views

2 votes

27

madeeasy#workbook
Find the number of parse trees which can generate 'a' ? $G\rightarrow ATE / a /\epsilon$ $A\rightarrow bT/b/a/\epsilon$ $T\rightarrow aE/b/a/\epsilon$ $E\rightarrow a/\epsilon$

answered in Theory of Computation Sep 29, 2017

197 views

0 votes

28

ace test
The keys 7,3,11,13 are inserted into avl tree .what will be the the root once 12 is inserted into above AVL tree.

answered in DS Sep 29, 2017

157 views

5 votes

29

UGC NET CSE | June 2007 | Part 2 | Question: 9
If $A\oplus B=C,$ then: $A\oplus C=B$ $B\oplus C=A$ $A\oplus B\oplus C=1$ $A\oplus B\oplus C=0$

answered in Others Sep 28, 2017

409 views

3 votes

30

MadeEasy Subject Test: Theory of Computation - Regular Expressions
sometimes questions like this will take more time plz anyone provide shortcut to this type ,this is easy but many time checking from 0 length to onward is very time consuming. length of the shortest string not in the language over the alphabet${a,b}$ of following regular expression is............ $a^{*}(a+ba)^{*}b^{*}$

answered in Theory of Computation Sep 28, 2017

229 views

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