Login
Register
@
Dark Mode
Profile
Edit my Profile
Messages
My favorites
Register
Activity
Q&A
Questions
Unanswered
Tags
Subjects
Users
Ask
Previous Years
Blogs
New Blog
Exams
Dark Mode
Filter
No answer
No selected answer
No upvoted answer
Previous GATE
Featured
Questions without answers in Engineering Mathematics
3
votes
0
answers
1
#linear algebra
why Eigen Vectors can not be zero ?
srijankarak_123
asked
in
Linear Algebra
Mar 23
by
srijankarak_123
25
views
0
votes
0
answers
2
#discrete
Çșȇ ʛấẗẻ
asked
in
Mathematical Logic
Feb 24
by
Çșȇ ʛấẗẻ
61
views
discrete-mathematics
kenneth-rosen
0
votes
0
answers
3
Question on Quotient set
What will be quotient set for equivalence relation R={(x,y) ∣ x ≡ y mod 5} in set builder form?
rick55
asked
in
Set Theory & Algebra
Feb 23
by
rick55
56
views
2
votes
0
answers
4
GATE CSE 2024 | Set 2 | Question: 37
Let $A$ be an $n \times n$ matrix over the set of all real numbers $\mathbb{R}$. Let $B$ be a matrix obtained from $A$ by swapping two rows. Which of the following statements is/are TRUE? The determinant of $B$ is the negative of the ... If $A$ is symmetric, then $B$ is also symmetric If the trace of $A$ is zero, then the trace of $B$ is also zero
Arjun
asked
in
Linear Algebra
Feb 16
by
Arjun
1.8k
views
gatecse2024-set2
linear-algebra
multiple-selects
0
votes
0
answers
5
Regular expression to finite automata
Çșȇ ʛấẗẻ
asked
in
Mathematical Logic
Feb 15
by
Çșȇ ʛấẗẻ
199
views
finite-automata
theory-of-computation
regular-expression
0
votes
0
answers
6
COA Self doubt
Çșȇ ʛấẗẻ
asked
in
Mathematical Logic
Feb 15
by
Çșȇ ʛấẗẻ
87
views
co-and-architecture
self-doubt
1
vote
0
answers
7
Gate 2016
The minimum number of colours that is sufficient to vertex-colour any planar graph is ________. I am confused with the question's language. please correct me if I have a wrong assumption. We need to tell the minimum colors required for a planar graph. Suppose I start ... is only fixed to 4. I understand the answer not to be less than 4. What does the word "any" means here?
TusharRana
asked
in
Graph Theory
Feb 8
by
TusharRana
182
views
0
votes
0
answers
8
Combinatorics & Probability
A rumor is spread randomly among a group of 10 people by successively having one person call someone, who calls someone, and so on. A person can pass the rumor on to anyone except the individual who just called. (a) By how many different paths can a rumor ... in $N$ calls? (c) What is the probability that if $A$ starts the rumor, then $A$ receives the third calls?
Debargha Mitra Roy
asked
in
Combinatory
Feb 8
by
Debargha Mitra Roy
138
views
combinatory
counting
0
votes
0
answers
9
#self doubt
Can someone please verify it ? isn't should be 8. https://www.toppr.com/ask/question/the-cardinality-of-the-power-set-of-left-phi-left-phiright-left-phi-left/ Let S={ϕ,{ϕ},{ϕ,{ϕ}}} P(s)= Power Set of set S P(s)={ϕ,{ϕ},{ϕ,{ϕ}},{ϕ,{ϕ,{ϕ}}},{{ϕ},{ϕ,{ϕ}}},{ϕ,{ϕ},{ϕ,{ϕ}}}} n(P(s))=6.
Dknights
asked
in
Set Theory & Algebra
Feb 6
by
Dknights
112
views
discrete-mathematics
0
votes
0
answers
10
Memory Based GATE DA 2024 | Question: 5
Consider a matrix \(M \in \mathbb{R}^{3 \times 3}\) and let \(U\) be a 2-dimensional subspace such that \(M\) is a projection onto \(U\). Which of the following statements are true? \(M^3 = M\) \(M^2 = M\) The nullspace of \(M\) is 1-dimensional. The nullspace of \(M\) is 2-dimensional.
GO Classes
asked
in
Linear Algebra
Feb 4
by
GO Classes
203
views
gate2024-da-memory-based
goclasses
linear-algebra
vector-space
0
votes
0
answers
11
Memory Based GATE DA 2024 | Question: 11
Consider a dataset with a raw score \(x = 75\), a mean \(\mu = 70\), and a standard deviation \(\sigma = 5\). Calculate the Z-score using the formula \(z = \frac{x - \mu}{\sigma}\).
GO Classes
asked
in
Probability
Feb 4
by
GO Classes
167
views
gate2024-da-memory-based
goclasses
probability
normal-distribution
numerical-answers
1
vote
0
answers
12
Memory Based GATE DA 2024 | Question: 15
Consider the joint probability density function given by: $ f(x, y)= \begin{cases} 2xy & \text{if } 0 < x < 2 \text{ and } 0 < y < x \\ 0 & \text{otherwise} \end{cases} $ \noindent Determine the conditional expectation $E(Y | X = 1.5)$.
GO Classes
asked
in
Probability
Feb 4
by
GO Classes
190
views
gate2024-da-memory-based
goclasses
probability
expectation
numerical-answers
1
vote
0
answers
13
Memory Based GATE DA 2024 | Question: 28
Consider a function \(f\) with \(f^1(X^*) = 0\) and \(f^{1l}(X^*) > 0\). Based on these conditions, determine the nature of the critical point \(X^*\) for the function \(f(X)\). \(X^*\) is a local maximum \(X^*\) is a local minimum \(X^*\) is a global maximum \(X^*\) is a global minimum
GO Classes
asked
in
Calculus
Feb 4
by
GO Classes
154
views
gate2024-da-memory-based
goclasses
calculus
maxima-minima
0
votes
0
answers
14
Memory Based GATE DA 2024 | Question: 35
Conditional probability \[ \begin{aligned} & \mathrm{P}(\mathrm{U}, \mathrm{V}, \mathrm{W}, \mathrm{X}, \mathrm{Y}) & = \mathrm{P}(\mathrm{U}) \cdot \mathrm{P}(\mathrm{V}) \cdot \mathrm{P}(\mathrm{W} / \mathrm{U}, \mathrm{V}) \cdot \mathrm{P}(\mathrm{X} / \mathrm{W}) \cdot \mathrm{P}(\mathrm{Y} / \mathrm{W}) \end{aligned} \]
GO Classes
asked
in
Probability
Feb 4
by
GO Classes
136
views
gate2024-da-memory-based
goclasses
probability
conditional-probability
0
votes
0
answers
15
Memory Based GATE DA 2024 | Question: 41
Consider two random variables, $x$ and $y$, defined as follows: \[ x = \begin{cases} 1 & \text{if HH } \\ 0 & \text{otherwise} \end{cases} \] \[ y = \begin{cases} 1 & \text{if at least one head} \\ 0 & \text{otherwise} \end{cases} \] What is the covariance between $x$ and $y?$
GO Classes
asked
in
Probability
Feb 4
by
GO Classes
90
views
gate2024-da-memory-based
goclasses
probability
statistics
0
votes
0
answers
16
Memory Based GATE DA 2024 | Question: 44
Consider the statements below related to probability distributions: \textbf{(S1):} For a Poisson distribution, the mean and variance are equal. \textbf{(S2):} For a standard normal distribution, the mean is 0, and the variance is 1. Which of the following ... true. S1 is true, but S2 is false. S1 is false, but S2 is true. Both S1 and S2 are false.
GO Classes
asked
in
Probability
Feb 4
by
GO Classes
142
views
gate2024-da-memory-based
goclasses
probability
poisson-distribution
normal-distribution
0
votes
0
answers
17
Memory Based GATE DA 2024 | Question: 52
Consider the function \(f(x) = \frac{x^4}{4} - \frac{2x^3}{3} - \frac{3x^2}{2}\). Which of the following statements about the critical points of \(f(x)\) are correct? Local minima at \(x = 0\) Local maxima at \(x = 0\) Local minima at \(x = 3\) Local minima at \(x = -1\)
GO Classes
asked
in
Calculus
Feb 4
by
GO Classes
143
views
gate2024-da-memory-based
goclasses
calculus
maxima-minima
0
votes
0
answers
18
Memory Based GATE DA 2024 | Question: 57
First-order logic question: All balls are round except rugby balls.
GO Classes
asked
in
Mathematical Logic
Feb 4
by
GO Classes
96
views
gate2024-da-memory-based
goclasses
mathematical-logic
first-order-logic
0
votes
0
answers
19
Memory Based GATE DA 2024 | Question: 60
Linear Algebra Question: Four options were given related to subspace R3. Something like this : A. \( \alpha \cdot x + \beta \cdot y \) B. \( \alpha^2 \cdot x + \beta^2 \cdot y \) C. \(f(x) = 4x_1 + 2x_3 + 3x_3 \) D.
GO Classes
asked
in
Linear Algebra
Feb 4
by
GO Classes
112
views
gate2024-da-memory-based
goclasses
linear-algebra
vector-space
1
vote
0
answers
20
Memory Based GATE DA 2024 | Question: 64
Minimum Number of colors in concentric circles.
GO Classes
asked
in
Graph Theory
Feb 4
by
GO Classes
114
views
gate2024-da-memory-based
goclasses
graph-theory
graph-coloring
0
votes
0
answers
21
madeeasy
plz explain option c
nihal_chourasiya
asked
in
Mathematical Logic
Feb 1
by
nihal_chourasiya
94
views
engineering-mathematics
maxima-minima
3
votes
0
answers
22
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 61
Let $S$ be the set of all functions $f: \mathbb{R} \rightarrow \mathbb{R}$. Consider the two binary operations + and $\circ$ on $S$ ... law $(g+h) \circ f=(g \circ f)+(h \circ f)$. None III only II and III only I, II, and III
GO Classes
asked
in
Set Theory & Algebra
Jan 28
by
GO Classes
409
views
goclasses2024-mockgate-13
goclasses
set-theory&algebra
group-theory
2-marks
0
votes
0
answers
23
Madeeasy test 45, question 48
Can anyone please explain the statements II and III?
VinayBhojwani
asked
in
Mathematical Logic
Jan 15
by
VinayBhojwani
144
views
2-marks
engineering-mathematics
made-easy-test-series
4
votes
0
answers
24
GO Classes Test Series 2024 | Mock GATE | Test 11 | Question: 30
Let $A$ be a matrix defined as $A=u v^T$, where $u$ and $v$ are column vectors of dimension $3 \times 1$. The resulting matrix $A$ will be of dimension $3 \times 3$. What are the maximum number of nonzero eigenvalues possible for the matrix $A?$
GO Classes
asked
in
Linear Algebra
Jan 13
by
GO Classes
704
views
goclasses2024-mockgate-11
goclasses
numerical-answers
linear-algebra
eigen-value
1-mark
0
votes
0
answers
25
Madeeasy 2024 full length test 3
Can anyone please help me solve this question or explain the formula used in the solution part of the same?
VinayBhojwani
asked
in
Probability
Jan 12
by
VinayBhojwani
153
views
0
votes
0
answers
26
Linear Transformation of Matrix
Debargha Mitra Roy
asked
in
Linear Algebra
Jan 12
by
Debargha Mitra Roy
63
views
linear-algebra
matrix
0
votes
0
answers
27
Consider a weighted undirected graph with positive edge weights and let (u, v) be an [2] edge in the graph. It is known that the shortest path from source vertex r to u has weight 53 and shortest path from r to v has weight 65. Which statement is always true?
Malusi
asked
in
Graph Theory
Jan 12
by
Malusi
85
views
0
votes
0
answers
28
GATE 2016 | MATHS | QUESTION-47
Let \( A = \begin{bmatrix} a & b & c \\ b& d & e\\ c& e& f\end{bmatrix} \) be a real matrix with eigenvalues 1, 0, and 3. If the eigenvectors corresponding to 1 and 0 are \(\begin{bmatrix} 1 \\ 1 \\ 1 \end{bmatrix}\) and \(\begin{bmatrix} 1 \\ -1 \\ 0 \end{bmatrix}\) respectively, then the value of \(3f\) is equal to ________________________
rajveer43
asked
in
Linear Algebra
Jan 11
by
rajveer43
156
views
linear-algebra
0
votes
0
answers
29
GATE 2016 | MATHS | Q-12
Consider the following statements P and Q: (P) : If \( M = \begin{bmatrix} 1 & 1 & 1 \\ 1 & 2 & 4 \\ 1 & 3 & 9 \end{bmatrix} \), then M is singular. (Q) : Let S be a diagonalizable matrix. If T is a matrix such that \( ... ), then T is diagonalizable. Which of the above statements hold TRUE? (A) both P and Q (B) only P (C) only Q (D) Neither P nor Q
rajveer43
asked
in
Linear Algebra
Jan 11
by
rajveer43
87
views
linear-algebra
0
votes
0
answers
30
GATE 2016 | MATHS | Q-14
Consider a real vector space \( V \) of dimension \( n \) and a non-zero linear transformation \( T: \mathbb{V} \rightarrow \mathbb{V} \). If \( \text{dim}(T) < n \) and $T^2 = \lambda T$, for some \( \lambda \in \mathbb{R} \backslash \{0\} \), then which ... 0 \) for all \( X \in \mathbb{W} \) (C) \( T \) is invertible (D) \( \lambda\) is the only eigenvalue of \( T \)
rajveer43
asked
in
Linear Algebra
Jan 11
by
rajveer43
71
views
linear-algebra
To see more, click for the
full list of questions
or
popular tags
.
Subscribe to GATE CSE 2024 Test Series
Subscribe to GO Classes for GATE CSE 2024
Quick search syntax
tags
tag:apple
author
user:martin
title
title:apple
content
content:apple
exclude
-tag:apple
force match
+apple
views
views:100
score
score:10
answers
answers:2
is accepted
isaccepted:true
is closed
isclosed:true
Recent Posts
Post GATE 2024 Guidance [Counseling tips and resources]
GATE CSE 2024 Result Responses
[Project Contest] Pytorch backend support for MLCommons Cpp Inference implementation
Participating in MLCommons Inference v4.0 submission (deadline is February 23 12pm IST)
IIITH PGEE 2024 Test Series by GO Classes
Subjects
All categories
General Aptitude
Engineering Mathematics
Discrete Mathematics
Probability
Linear Algebra
Calculus
Optimization
Digital Logic
Programming and DS
Algorithms
Theory of Computation
Compiler Design
Operating System
Databases
CO and Architecture
Computer Networks
Artificial Intelligence
Machine Learning
Data Mining and Warehousing
Non GATE
Others
Admissions
Exam Queries
Tier 1 Placement Questions
Job Queries
Projects
Unknown Category
64.3k
questions
77.9k
answers
244k
comments
80.0k
users
Questions without answers in Engineering Mathematics
Recent Blog Comments
category ?
Hi @Arjun sir, I have obtained a score of 591 in ...
download here
Can you please tell about IIT-H mtech CSE self...
Please add your admission queries here:...