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User LeenSharma
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Answers by LeenSharma
1
vote
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
made-easy-test-series
matrix
linear-algebra
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
system
of
system-of-equations
non-trivial-solution
homogeneous-equation
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
regular-expression
multiple-selects
0
votes
4
MadeEasy Subject Test: Theory of Computation - Regular Expressions
answered
in
Theory of Computation
Nov 9, 2017
274
views
made-easy-test-series
theory-of-computation
regular-expression
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
engineering-mathematics
matrix
linear-algebra
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
finite-automata
theory-of-computation
number-of-states
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
ugcnetcse-nov2017-paper2
discrete-mathematics
mathematical-logic
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
ugcnetcse-nov2017-paper2
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
compiler-design
code-optimization
directed-acyclic-graph
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
discrete-mathematics
combinatory
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
finite-automata
theory-of-computation
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
relations
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
minimal-state-automata
theory-of-computation
finite-automata
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
relations
kenneth-rosen
discrete-mathematics
combinatory
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
data-structures
binary-search-tree
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
finite-automata
theory-of-computation
minimal-state-automata
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
finite-automata
theory-of-computation
minimal-state-automata
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
regular-grammar
compiler-design
regular-language
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
quantitative-aptitude
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
avl-tree
data-structures
ace-test-series
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
ugcnetcse-june2007-paper2
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
made-easy-test-series
theory-of-computation
regular-expression
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