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Recent questions in Engineering Mathematics
0
votes
0
answers
61
Linear Algebra
MX = O is a homogeneous equation and such an equation when |M| = 0 has non trivial solution. M: Square Matrix O: Null Matrix Kindly help me with the above statement.
ryandany07
asked
in
Mathematical Logic
Aug 30
by
ryandany07
95
views
engineering-mathematics
linear-algebra
matrix
0
votes
0
answers
62
Engineering Mathematics
How the value of a1 = 3, a2 = 2 is calculated.
GateOverflow04
asked
in
Mathematical Logic
Aug 25
by
GateOverflow04
106
views
engineering-mathematics
generating-functions
test-series
0
votes
1
answer
63
combinatorics problem-2
How many ways are there to distribute 5 distinct toys among 3 children such that every child gets at least 1 toy? answer given is 150. but I'm getting 9. My approach go as follows: step-1 : give 1 toy to all 3 children, now, I am left with (5-3) = ... to either of first or second or third child. thus, toy1 has 3 choices and so do toy2. Therefore, my answer would be 3*3 = 9.
Roshakaw
asked
in
Combinatory
Aug 25
by
Roshakaw
171
views
combinatory
counting
numerical-answers
1
vote
2
answers
64
Combinatorics
How many ways are there to distribute 10 identical candies among 3 children such that the first child receives at least 2 candies, the second child receives atmost 6 candies and the third child receives atmost 3 candies.
Roshakaw
asked
in
Combinatory
Aug 25
by
Roshakaw
191
views
combinatory
counting
0
votes
1
answer
65
Engineering Mathematics
Does the given solution is correct: When S is symmetric and transitive, if S contain (3,1),(1,3) then (3,3) should also be present form transitivity. Please verify the solution.
GateOverflow04
asked
in
Set Theory & Algebra
Aug 23
by
GateOverflow04
144
views
engineering-mathematics
ace-test-series
set-theory
5
votes
0
answers
66
Combinatorics : Distinct objects and Distinct boxes
How many ways are there to Distribute 7 distinct objects to 3 Distinct boxes and No box should be Empty Any box can be Empty
[ Jiren ]
asked
in
Combinatory
Aug 22
by
[ Jiren ]
168
views
combinatory
counting
0
votes
1
answer
67
Engineering Mathematics
why 4^10 is done. solution: Please explain the last portion why 4^ 10 is done.
GateOverflow04
asked
in
Set Theory & Algebra
Aug 22
by
GateOverflow04
106
views
engineering-mathematics
ace-test-series
set-theory
1
vote
0
answers
68
Engineering Mathematics
Please verify the solution(the differentiation part ),
GateOverflow04
asked
in
Calculus
Aug 21
by
GateOverflow04
121
views
calculus
ace-test-series
0
votes
2
answers
69
maths probability
A dice is tossed seven times. What is the probability that all six faces appear at least once?
jugnu1337
asked
in
Probability
Aug 15
by
jugnu1337
213
views
probability
0
votes
1
answer
70
maths igate test series
Which of the relations below can also be characterized as a function defined on the set I = { 1, 2, 3, 4, 5 } { (x, y) | x, y ∈ I, x < y } B{ (x, y) | x, y ∈ I, x = 1 } C{ (x, y) | x, y ∈ I, x! = y } None of these
jugnu1337
asked
in
Set Theory & Algebra
Aug 15
by
jugnu1337
139
views
functions
0
votes
1
answer
71
NPTEL Assignment
In how many ways can the word ‘DOCUMENTATION’ be arranged so that all the consonants come together.
simi2426
asked
in
Combinatory
Aug 9
by
simi2426
249
views
0
votes
1
answer
72
ISI 2020 | PCB Mathematics | Question: 3
Suppose $A$ is an $(n \times n)$ matrix over $\mathbb{R}$ such that $A^{p}=0$ for some positive integer $p$. Prove that $I+A$ is an invertible matrix, where $I$ is the $(n \times n)$ identity matrix. Find the characteristic polynomial of $A$.
Lakshman Patel RJIT
asked
in
Linear Algebra
Aug 8
by
Lakshman Patel RJIT
52
views
isi2020-pcb-mathematics
descriptive
linear-algebra
matrix
4
votes
1
answer
73
GO Classes Scholarship 2023 | Test | Question: 1
A relation $\text{R}$ on a set $\text{A}$ is said to be Total Relation iff $a\text{R}b$ Or $b\text{R}a$ Or both, for all $a,b \in \mathrm{A}$. Which of the following options is/are false? Every Total relation is ... total and transitive, then $\mathrm{S}$ is an equivalence relation. The number of total relations on a set of $5$ elements is $1024.$
GO Classes
asked
in
Set Theory & Algebra
Aug 7
by
GO Classes
542
views
goclasses-scholarship-test1
goclasses
set-theory&algebra
relations
multiple-selects
2-marks
2
votes
3
answers
74
GO Classes Scholarship 2023 | Test | Question: 2
Let $\text{S}$ be the set of all bit-strings of length $7 .$ We define a relation $\mathrm{R}$ on the set $\mathrm{S}$ by the rule that $x\mathrm{R}y$ iff $x$ and $y$ ... such that $\forall j \neq i, x_{j}=y_{j}$ and $x_{i} \neq y_{i}$. What is the cardinality of relation $\mathrm{R}$?
GO Classes
asked
in
Set Theory & Algebra
Aug 7
by
GO Classes
433
views
goclasses-scholarship-test1
numerical-answers
goclasses
set-theory&algebra
relations
2-marks
4
votes
1
answer
75
GO Classes Scholarship 2023 | Test | Question: 3
Let $\text{A, B}$ be two disjoint non-empty sets. Let $\text{M}$ be the universal set and $\text{A} \cup \text{B}$ is a proper subset of $\mathrm{M}$. For any set $\mathrm{S}$, let $\mathrm{S}^{\prime}$ be the set of those elements ...
GO Classes
asked
in
Set Theory & Algebra
Aug 7
by
GO Classes
263
views
goclasses-scholarship-test1
goclasses
set-theory&algebra
set-theory
multiple-selects
2-marks
5
votes
2
answers
76
GO Classes Scholarship 2023 | Test | Question: 4
Consider a $3 \times 11$ rectangular grid as depicted in Figure $1,$ formed by $33$ tiles of area $1\text{m}^2.$ A staircase walk is a path in the grid which moves only right or up. How many staircase walks are there from $\text{A}$ to $\text{B}$ which start by going to the right two times?
GO Classes
asked
in
Combinatory
Aug 7
by
GO Classes
261
views
goclasses-scholarship-test1
numerical-answers
goclasses
combinatory
counting
1-mark
4
votes
1
answer
77
GO Classes Scholarship 2023 | Test | Question: 5
Consider $5$ cards, each has a distinct value from the set $\{2,3,4,5,6\},$ so there are $5$ different values, and we put them face down on the table. There are $5$ players and each player is given a number from $2$ ... with the value that player has. If no player loses, then the dealer loses. How many ways are there so that the dealer loses?
GO Classes
asked
in
Combinatory
Aug 7
by
GO Classes
210
views
goclasses-scholarship-test1
numerical-answers
goclasses
combinatory
counting
2-marks
4
votes
1
answer
78
GO Classes Scholarship 2023 | Test | Question: 6
Consider three boxes and $12$ balls of the same size. We have $3$ indistinguishable red balls and $9$ distinguishable blue balls. The first box can fit at most three balls, the second box can fit at most four balls and the third box can fit ... all the red balls go into the same box. What is the total number of ways to put all the balls in the boxes?
GO Classes
asked
in
Combinatory
Aug 7
by
GO Classes
217
views
goclasses-scholarship-test1
numerical-answers
goclasses
combinatory
counting
2-marks
3
votes
1
answer
79
GO Classes Scholarship 2023 | Test | Question: 7
Define the generating functions $\text{B}(x)=\displaystyle{} \sum_{n=0}^{\infty} 2^{n} x^{n}$ and $F(x)=\displaystyle{} \sum_{n=0}^{\infty} f_{n} x^{n}$ where $f_{n}$ ... $x^{5}$ is $\mathrm{G}(x)?$
GO Classes
asked
in
Combinatory
Aug 7
by
GO Classes
235
views
goclasses-scholarship-test1
numerical-answers
goclasses
combinatory
generating-functions
2-marks
3
votes
1
answer
80
GO Classes Scholarship 2023 | Test | Question: 8
In a directed graph $\mathrm{G}=(\mathrm{V}, \mathrm{E})$, two nodes $u$ and $v$ are strongly connected if and only if they are mutually reachable i.e. there is a path from u to $v$ and a path from $v$ to $u$. ... connected components $\dots?$ can not increase can not decrease by more than $1$ can not decrease by more than $2$ may remain unchanged
GO Classes
asked
in
Graph Theory
Aug 7
by
GO Classes
268
views
goclasses-scholarship-test1
goclasses
graph-theory
graph-connectivity
multiple-selects
1-mark
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