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Hot questions in Engineering Mathematics
1
votes
2
answers
3361
Gate 2016 CE Set 1
If the entries in each column of a square matrix M add up to 1, then an eigen value of M is A) 4 B) 3 C) 2 D) 1
If the entries in each column of a square matrix M add up to 1, then an eigen value of M isA) 4 B) 3 C) 2 D) 1
suparna kar
3.6k
views
suparna kar
asked
Aug 17, 2018
Linear Algebra
eigen-value
+
–
2
votes
3
answers
3362
Test by Bikram | Mathematics | Test 2 | Question: 2
The total number of vertices in a graph is $n = 6$. The maximum number of possible edges (so that the graph remains disconnected) is ______.
The total number of vertices in a graph is $n = 6$.The maximum number of possible edges (so that the graph remains disconnected) is ______.
Bikram
410
views
Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
+
–
4
votes
2
answers
3363
GATE CSE 1993 | Question: 02.6
The value of the double integral $\int^{1}_{0} \int_{0}^{\frac{1}{x}} \frac {x}{1+y^2} dxdy$ is_________.
The value of the double integral $\int^{1}_{0} \int_{0}^{\frac{1}{x}} \frac {x}{1+y^2} dxdy$ is_________.
Kathleen
3.8k
views
Kathleen
asked
Sep 13, 2014
Calculus
gate1993
calculus
integration
normal
fill-in-the-blanks
out-of-gate-syllabus
+
–
0
votes
0
answers
3364
Kenneth Rosen Edition 7 Exercise 1.5 Question 15 (Page No. 66)
Use quantifiers and predicates with more than one variable to express these statements. Every computer science student needs a course in discrete mathematics There is a student in this class who owns a personal computer. Every student in ... campus. Every student in this class has been in at least one room of every building on campus.
Use quantifiers and predicates with more than one variable to express these statements.Every computer science student needs a course in discrete mathematicsThere is a stu...
Pooja Khatri
884
views
Pooja Khatri
asked
Mar 18, 2019
Mathematical Logic
kenneth-rosen
discrete-mathematics
mathematical-logic
propositional-logic
+
–
0
votes
0
answers
3365
Kenneth Rosen Edition 7 Exercise 1.6 Question 13 (Page No. 79)
For each of these arguments, explain which rules of inference are used for each step. Doug, a student in this class, knows how to write programs in JAVA. Everyone who knows how to write programs in JAVA can get a high- ... has never seen the ocean. Therefore, someone who lives within 50 miles of the ocean has never seen the ocean.
For each of these arguments, explain which rules of inference are used for each step.“Doug, a student in this class, knows how to write programs in JAVA. Everyone who k...
Pooja Khatri
1.5k
views
Pooja Khatri
asked
Mar 19, 2019
Mathematical Logic
kenneth-rosen
discrete-mathematics
mathematical-logic
propositional-logic
+
–
1
votes
2
answers
3366
Kenneth Rosen Edition 6th Exercise 1.2 Example 1 (Page No. 17)
"You can access the Internet from campus only if you are a computer science major or you are not a freshman" According to Rosen, its equivalent compound proposition is a $→ (c ∨¬f )$. Should it not be the other way round? $(c ∨¬f ) → a$
"You can access the Internet from campus only if you are a computer science major or you are not a freshman"According to Rosen, its equivalent compound proposition is a $...
Warlock lord
4.4k
views
Warlock lord
asked
May 28, 2018
Mathematical Logic
kenneth-rosen
mathematical-logic
engineering-mathematics
discrete-mathematics
propositional-logic
+
–
0
votes
1
answer
3367
Kenneth Rosen Edition 7 Exercise 1.4 Question 47 (Page No. 56)
Establish these logical equivalences, where $x$ does not occur as a free variable in $A$. Assume that the domain is nonempty. $(\forall x P(x)) \wedge A \equiv \forall x (P(x) \wedge A)$ $(\exists x P(x)) \wedge A \equiv \exists x (P(x) \wedge A)$
Establish these logical equivalences, where $x$ does not occur as a free variable in $A$. Assume that the domain is nonempty.$(\forall x P(x)) \wedge A \equiv \forall x (...
Pooja Khatri
416
views
Pooja Khatri
asked
Mar 18, 2019
Mathematical Logic
kenneth-rosen
discrete-mathematics
mathematical-logic
propositional-logic
+
–
16
votes
3
answers
3368
GATE CSE 2002 | Question: 1.1
The rank of the matrix $\begin{bmatrix} 1 & 1 \\ 0 & 0 \end{bmatrix}$ is $4$ $2$ $1$ $0$
The rank of the matrix $\begin{bmatrix} 1 & 1 \\ 0 & 0 \end{bmatrix}$ is$4$$2$$1$$0$
Kathleen
4.1k
views
Kathleen
asked
Sep 15, 2014
Linear Algebra
gatecse-2002
linear-algebra
easy
rank-of-matrix
+
–
2
votes
2
answers
3369
Test by Bikram | Mathematics | Test 2 | Question: 27
Which of the above is a lattice : b and c a and d b and d a only
Which of the above is a lattice :b and ca and db and da only
Bikram
427
views
Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
+
–
0
votes
0
answers
3370
CSIR UGC NET
Let $A$ be a $3 \times 3$ real matrix. Suppose 1 and -1 are two of the three Eigen values of $A$ and 18 is one of the Eigen values of $A^2+3 A$. Then Both $A$ and $A^2+3 A$ are invertible $A^2+3 A$ is invertible but $A$ is not invertible $A$ is invertible but $A^2+3 A$ is not invertible Both $\mathrm{A}$ and $A^2+3 A$ are not invertible.
Let $A$ be a $3 \times 3$ real matrix. Suppose 1 and -1 are two of the three Eigen values of $A$ and 18 is one of the Eigen values of $A^2+3 A$. ThenBoth $A$ and $A^2+3 A...
Hirak
590
views
Hirak
asked
Apr 28, 2019
Linear Algebra
linear-algebra
eigen-value
matrix
+
–
7
votes
1
answer
3371
TIFR CSE 2019 | Part A | Question: 4
What is the probability that a point $P=(\alpha,\beta)$ picked uniformly at random from the disk $x^2 +y^2 \leq 1$ satisfies $\alpha + \beta \leq 1$? $\frac{1}{\pi}$ $\frac{3}{4} + \frac{1}{4} \cdot \frac{1}{\pi}$ $\frac{3}{4}+ \frac{1}{4} \cdot \frac{2}{\pi}$ $1$ $\frac{2}{\pi}$
What is the probability that a point $P=(\alpha,\beta)$ picked uniformly at random from the disk $x^2 +y^2 \leq 1$ satisfies $\alpha + \beta \leq 1$?$\frac{1}{\pi}$$\frac...
Arjun
1.8k
views
Arjun
asked
Dec 18, 2018
Probability
tifr2019
engineering-mathematics
discrete-mathematics
probability
+
–
2
votes
2
answers
3372
Discrete Mathematics Thegatebook
how many positive integers between 50 and 100, (a) divisible by 7 (b) divisible by 11 (c) divisible by 7 and 11?
how many positive integers between 50 and 100,(a) divisible by 7(b) divisible by 11(c) divisible by 7 and 11?
Lakshman Bhaiya
727
views
Lakshman Bhaiya
asked
May 7, 2017
Combinatory
inclusion-exclusion
+
–
1
votes
1
answer
3373
ISI MMA-2015
Let, $a_{n} \;=\; \left ( 1-\frac{1}{\sqrt{2}} \right ) ... \left ( 1- \frac{1}{\sqrt{n+1}} \right )$ , $n \geq 1$. Then $\lim_{n\rightarrow \infty } a_{n}$ (A) equals $1$ (B) does not exist (C) equals $\frac{1}{\sqrt{\pi }}$ (D) equals $0$
Let, $a_{n} \;=\; \left ( 1-\frac{1}{\sqrt{2}} \right ) ... \left ( 1- \frac{1}{\sqrt{n+1}} \right )$ , $n \geq 1$. Then $\lim_{n\rightarrow \infty } a_{n}$(A) equals $1$...
ankitgupta.1729
1.4k
views
ankitgupta.1729
asked
Feb 21, 2019
Calculus
engineering-mathematics
calculus
userisi2015
usermod
sequence-series
limits
+
–
0
votes
1
answer
3374
MadeEasy Test Series: Discrete Mathematics - Graph Thoery
The number of labelled subgraphs possible for the graph given below.
The number of labelled subgraphs possible for the graph given below.
snaily16
2.3k
views
snaily16
asked
Jan 19, 2019
Graph Theory
made-easy-test-series
discrete-mathematics
graph-theory
+
–
0
votes
0
answers
3375
POSET self doubt
What is dual of a POSET?
What is dual of a POSET?
aditi19
503
views
aditi19
asked
Apr 27, 2019
Set Theory & Algebra
lattice
self-doubt
set-theory&algebra
relations
partial-order
+
–
3
votes
1
answer
3376
GATE CSE 1987 | Question: 9f
Give the composition tables (Cayley Tables) of the two non-isomorphic groups of order $4$ with elements $e, a, b, c$ where $c$ is the identity element. Use the order $e, a, b, c$ for the rows and columns.
Give the composition tables (Cayley Tables) of the two non-isomorphic groups of order $4$ with elements $e, a, b, c$ where $c$ is the identity element. Use the order $e, ...
makhdoom ghaya
944
views
makhdoom ghaya
asked
Nov 14, 2016
Set Theory & Algebra
gate1987
set-theory&algebra
group-theory
group-isomorphism
descriptive
out-of-gate-syllabus
+
–
6
votes
1
answer
3377
TIFR CSE 2016 | Part B | Question: 11
Let $n \geq 4$ be an integer. Regard the set $\mathbb{R}^n$ as a vector space over $\mathbb{R}$. Consider the following undirected graph $H$ ... inifinite number of vertices The diameter of $H$ is infinite $H$ is conneceted $H$ contains an infinite clique $H$ contains an infinite independent set
Let $n \geq 4$ be an integer. Regard the set $\mathbb{R}^n$ as a vector space over $\mathbb{R}$. Consider the following undirected graph $H$.$$ V(H) = \{S \subseteq \math...
go_editor
742
views
go_editor
asked
Dec 29, 2016
Graph Theory
tifr2016
graph-theory
graph-connectivity
+
–
1
votes
1
answer
3378
Doubt
How many distinct unlabeled graphs are there with 4 vertices and 3 edges?
How many distinct unlabeled graphs are there with 4 vertices and 3 edges?
RKM
578
views
RKM
asked
Nov 23, 2018
3
votes
1
answer
3379
kenneth rosen Ex2.4 Q.46
Show that the set of functions from the positive integers to the set {0,1,2,3,4,5,6,7,8,9} is uncountable.
Show that the set of functions from the positive integers to the set {0,1,2,3,4,5,6,7,8,9} is uncountable.
himgta
1.6k
views
himgta
asked
Feb 21, 2019
1
votes
1
answer
3380
graph Theory
Consider an undirected graph G where self-loops are not allowed. The vertex set of G is {(i,j):1<=i<=12,1<=j<=12}. There is an edge between (a, b) and (c, d) if |a-c|<=1 and |b-d|<=1. The number of edges in this graph is __________.
Consider an undirected graph G where self-loops are not allowed. The vertex set of G is {(i,j):1<=i<=12,1<=j<=12}. There is an edge between (a, b) and (c, d) if |a-c|<=1 ...
Parshu gate
440
views
Parshu gate
asked
Dec 10, 2017
Graph Theory
discrete-mathematics
graph-theory
+
–
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