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Recent questions tagged systemofequations
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1
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1
ISI2014DCG9
The values of $\eta$ for which the following system of equations $\begin{array} {} x & + & y & + & z & = & 1 \\ x & + & 2y & + & 4z & = & \eta \\ x & + & 4y & + & 10z & = & \eta ^2 \end{array}$ has a solution are $\eta=1, 2$ $\eta=1, 2$ $\eta=3, 3$ $\eta=1, 2$
asked
Sep 23, 2019
in
Linear Algebra
by
Arjun
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430k
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74
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isi2014dcg
linearalgebra
systemofequations
0
votes
1
answer
2
ISI2014DCG64
The value of $\lambda$ such that the system of equation $\begin{array}{} 2x & – & y & + & 2z & = & 2 \\ x & – & 2y & + & z & = & 4 \\ x & + & y & + & \lambda z & = & 4 \end{array}$ has no solution is $3$ $1$ $0$ $3$
asked
Sep 23, 2019
in
Linear Algebra
by
Arjun
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430k
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59
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isi2014dcg
linearalgebra
matrices
systemofequations
0
votes
1
answer
3
ISI2015MMA43
The values of $\eta$ for which the following system of equations $\begin{array} {} x & + & y & + & z & = & 1 \\ x & + & 2y & + & 4z & = & \eta \\ x & + & 4y & + & 10z & = & \eta ^2 \end{array}$ has a solution are $\eta = 1, 2$ $\eta = 1, 2$ $\eta = 3, 3$ $\eta = 1, 2$
asked
Sep 23, 2019
in
Linear Algebra
by
Arjun
Veteran
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430k
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27
views
isi2015mma
linearalgebra
systemofequations
0
votes
1
answer
4
ISI2015MMA44
Let $P_1$, $P_2$ and $P_3$ denote, respectively, the planes defined by $\begin{array} {} a_1x +b_1y+c_1z=\alpha _1 \\ a_2x +b_2y+c_2z=\alpha _2 \\ a_3x +b_3y+c_3z=\alpha _3 \end{array}$ It is given that $P_1$, $P_2$ and $P_3$ ... then the planes do not have any common point of intersection intersect at a unique point intersect along a straight line intersect along a plane
asked
Sep 23, 2019
in
Linear Algebra
by
Arjun
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(
430k
points)

27
views
isi2015mma
linearalgebra
systemofequations
0
votes
1
answer
5
ISI2015DCG11
Let two systems of linear equations be defined as follows: $\begin{array} {} & x+y & =1 \\ P: & 3x+3y & =3 \\ & 5x+5y & =5 \end{array}$ ... $P$ and $Q$ are inconsistent $P$ and $Q$ are consistent $P$ is consistent but $Q$ is inconsistent None of the above
asked
Sep 18, 2019
in
Linear Algebra
by
gatecse
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(
17.5k
points)

25
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isi2015dcg
linearalgebra
systemofequations
0
votes
1
answer
6
ISI2016DCG11
Let two systems of linear equations be defined as follows: $\begin{array}{lll} & x+y & =1 \\ P: & 3x+3y & =3 \\ & 5x+5y & =5 \end{array}$ ... $P$ and $Q$ are inconsistent $P$ and $Q$ are consistent $P$ is consistent but $Q$ is inconsistent None of the above
asked
Sep 18, 2019
in
Linear Algebra
by
gatecse
Boss
(
17.5k
points)

14
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isi2016dcg
linearalgebra
systemofequations
0
votes
0
answers
7
Self DoubtLA
In a nonhomogeneous equation Ax = b, x has a unique solution when $A^{1}$ exists i.e x = $A^{1}$b but when det(A) = 0 then we have infinite solution or many solution. please give a mathematical explanation of how the 2nd statement occurs?
asked
May 26, 2019
in
Mathematical Logic
by
MRINMOY_HALDER
Active
(
3.8k
points)

39
views
linearalgebra
systemofequations
0
votes
1
answer
8
ISI2018MMA11
The value of $\lambda$ for which the system of linear equations $2xyz=12$, $x2y+z=4$ and $x+y+\lambda z=4$ has no solution is $2$ $2$ $3$ $3$
asked
May 11, 2019
in
Numerical Ability
by
akash.dinkar12
Boss
(
42.4k
points)

85
views
isi2018mma
engineeringmathematics
linearalgebra
systemofequations
+1
vote
1
answer
9
ISI2019MMA14
If the system of equations $\begin{array} \\ax +y+z= 0 \\ x+by +z = 0 \\ x+y + cz = 0 \end{array}$ with $a,b,c \neq 1$ has a non trivial solutions, the value of $\frac{1}{1a} + \frac{1}{1b} + \frac{1}{1c}$ is $1$ $1$ $3$ $3$
asked
May 7, 2019
in
Linear Algebra
by
Sayan Bose
Loyal
(
7.4k
points)

157
views
isi2019mma
linearalgebra
systemofequations
+1
vote
1
answer
10
Linear Algebra_25
Let AX=B be a system of n linear equations in n unknown with integer coefficient and the components of B are all integer. Consider the following (1)det(A)=1 (2)det(A)=0 (3)Solution X has integer entries (4)Solution X does not have all integer entries For the given system ... then 3 holds true (c)If 1, then 4 holds true (d)If 2, then 3 holds true I think (d) should be the answer.
asked
Nov 15, 2018
in
Linear Algebra
by
Ayush Upadhyaya
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(
29k
points)

127
views
linearalgebra
engineeringmathematics
systemofequations
0
votes
0
answers
11
System of Equations
My solution: Since the Determinant of matrix is Zero. So it will posses non trivial solution. Now what should be the answer ? According to me Option D as rank is < Order so infinite number of solutions
asked
Oct 25, 2018
in
Linear Algebra
by
Na462
Loyal
(
7k
points)

87
views
linearalgebra
engineeringmathematics
systemofequations
+1
vote
0
answers
12
SELF DOUBT
consider a system of linear equation where AMxN XNx1 =BMx1 TRUE OR FALSE Q1 IF B=0 AND DETERMINENT OF A i.e A IS NOT EQUAL TO ZERO THEN IT MEANS UNIQUE SOLUTION?? Q2 IF B NOT EQUAL TO 0 AND DETERMINENT OF A i.e A IS NOT EQUAL TO ZERO THEN IT MEANS INFINITE MANY SOLUTION SOLUTION?? Q3 IF B IS NOT EQUAL TO 0 AND M<N THEN IT MEANS NO UNIQUE SOLUTION??
asked
Oct 3, 2018
in
Linear Algebra
by
eyeamgj
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(
6.2k
points)

34
views
systemofequations
0
votes
1
answer
13
Linear Algebra RGPV 2001
Test the consistency of the following system of equations and solve if possible $3x + 3y +2z = 1$ $x + 2y = 4$ $10y + 3z = 2$ $2x  3y z = 5$
asked
Sep 29, 2018
in
Linear Algebra
by
Mk Utkarsh
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(
36.4k
points)

99
views
linearalgebra
engineeringmathematics
systemofequations
0
votes
1
answer
14
Hk Dass Linear Algebra
Test the consistency of the following system of equations $5x + 3y + 7z = 4 $ $3x + 26y + 2z = 9$ $7x + 2y + 10z = 5$
asked
Sep 29, 2018
in
Linear Algebra
by
Mk Utkarsh
Boss
(
36.4k
points)

115
views
linearalgebra
systemofequations
0
votes
1
answer
15
Linear system of equations
asked
Sep 16, 2018
in
Linear Algebra
by
Na462
Loyal
(
7k
points)

80
views
engineeringmathematics
linearalgebra
systemofequations
0
votes
1
answer
16
ISI2016MMA4
The $a, b, c$ and $d$ ... $(a+d)(b+c)$ equals $4$ $0$ $16$ $16$
asked
Sep 13, 2018
in
Linear Algebra
by
jothee
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(
105k
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32
views
isi2016mmamma
linearalgebra
matrices
systemofequations
0
votes
0
answers
17
ISI2017MMA18
Consider following system of equations: $\begin{bmatrix} 1 &2 &3 &4 \\ 5&6 &7 &8 \\ a&9 &b &10 \\ 6&8 &10 & 13 \end{bmatrix}$\begin{bmatrix} x1\\ x2\\ x3\\ x4 \end{bmatrix}$=$\begin{bmatrix} 0\\ 0\\ 0\\ 0 \ ... at least two distinct solution for ($x_{1},x_{2},x_{3},x_{4}$) is a parabola a straight line entire $\mathbb{R}^{2}$ a point
asked
Apr 25, 2018
in
Linear Algebra
by
Tesla!
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(
18.4k
points)

197
views
isi2017mma
engineeringmathematics
linearalgebra
systemofequations
+3
votes
4
answers
18
ISI201604
If $a,b,c$ and $d$ satisfy the equations $a+7b+3c+5d =16$ $8a+4b+6c+2d = 16$ $2a+6b+4c+8d = 16$ $5a+3b+7c+d= 16$ Then $(a+d)(b+c)$ equals $4$ $0$ $16$ $16$
asked
Mar 31, 2018
in
Linear Algebra
by
jjayantamahata
Active
(
1.5k
points)

428
views
isi2016
engineeringmathematics
systemofequations
+1
vote
1
answer
19
GATE Linear Algebra
For what values of $\lambda$ the system of equations will have $2$ linear independent solutions  $x + y + z = 0$ $(\lambda + 1) y + (\lambda + 1) z = 0$ ($\lambda^{2} 1) z = 0$ Now the problem i'm facing is if there is $2$ ... of matrix will be $1$. Can anyone please explain in simple why the rank of matrix should be $1$ if we need $2$ Linear Independent solution. Thankyou.
asked
Mar 2, 2018
in
Linear Algebra
by
pilluverma123
(
317
points)

174
views
numericalanswers
linear
algebra
system
of
systemofequations
0
votes
1
answer
20
GATE2018 ME1: GA7
Given that $a$ and $b$ are integers and $a+a^2 b^3$ is odd, which of the following statements is correct? $a$ and $b$ are both odd $a$ and $b$ are both even $a$ is even and $b$ is odd $a$ is odd and $b$ is even
asked
Feb 17, 2018
in
Numerical Ability
by
Arjun
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(
430k
points)

96
views
gate2018me1
generalaptitude
numericalability
quadraticequations
systemofequations
+1
vote
1
answer
21
Test Series ACE
How to solve? ________________ Number of nonnegative integer solutions such that x+y+z=17 where x>1,y>2,z>3 is 
asked
Jan 13, 2018
in
Linear Algebra
by
ankit_thawal
Active
(
1.4k
points)

117
views
systemofequations
+2
votes
1
answer
22
MadeEasy Test Series: General Aptitude  System Of Equations
how to solve such questions?
asked
Jan 5, 2018
in
Numerical Ability
by
charul
Junior
(
823
points)

197
views
madeeasytestseries
generalaptitude
systemofequations
0
votes
3
answers
23
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 nontrivial 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?
asked
Dec 1, 2017
in
Linear Algebra
by
stanchion
Junior
(
555
points)

141
views
system
of
systemofequations
nontrivialsolution
homogeneousequation
0
votes
3
answers
24
NUMBER of soutions the equations have?
Consider the following system system of equations x12x3=0 x1x2=0 2x12x2=0 No solution Infinite number of solutions Three solution unique solution
asked
Nov 10, 2017
in
Linear Algebra
by
Parshu gate
Active
(
3.1k
points)

111
views
engineeringmathematics
systemofequations
+34
votes
5
answers
25
GATE201713
Let $c_{1}.....c_{n}$ be scalars, not all zero, such that $\sum_{i=1}^{n}c_{i}a_{i}$ = 0 where $a_{i}$ are column vectors in $R^{n}$. Consider the set of linear equations $Ax = b$ ... of equations has a unique solution at $x=J_{n}$ where $J_{n}$ denotes a $n$dimensional vector of all 1. no solution infinitely many solutions finitely many solutions
asked
Feb 14, 2017
in
Linear Algebra
by
Arjun
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(
430k
points)

6.3k
views
gate20171
linearalgebra
systemofequations
normal
0
votes
2
answers
26
GATE2011 GG: GA6
The number of solutions for the following system of inequalities is $X_1≥ 0$ $X_2 ≥ 0$ $X_1+ X_2 ≤ 10$ $2X_1+ 2X_2 ≥ 22$ $0$ infinite $1$ $2$
asked
Feb 16, 2016
in
Numerical Ability
by
Akash Kanase
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(
41.9k
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307
views
gate2011gg
numericalability
systemofequations
+32
votes
3
answers
27
GATE2016204
Consider the system, each consisting of $m$ linear equations in $n$ variables. If $m < n$, then all such systems have a solution. If $m > n$, then none of these systems has a solution. If $m = n$, then there exists a system which has a solution. Which one of the ... is CORRECT? $I, II$ and $III$ are true. Only $II$ and $III$ are true. Only $III$ is true. None of them is true.
asked
Feb 12, 2016
in
Linear Algebra
by
Akash Kanase
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41.9k
points)

4.5k
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gate20162
linearalgebra
systemofequations
normal
+1
vote
1
answer
28
TIFR2011MathsA13
$A$ is $3 \times 4$matrix of rank $3$. Then the system of equations, $Ax = b$ has exactly one solution.
asked
Dec 9, 2015
in
Linear Algebra
by
makhdoom ghaya
Boss
(
30.7k
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159
views
tifrmaths2011
linearalgebra
systemofequations
+5
votes
1
answer
29
TIFR2010MathsB14
The equations. $x_{1}+2x_{2}+3x_{3}=1$ $x_{1}+4x_{2}+9x_{3}=1$ $x_{1}+8x_{2}+27x_{3}=1$ have Only one solution. Two solutions. Infinitely many solutions. No solutions
asked
Oct 15, 2015
in
Linear Algebra
by
makhdoom ghaya
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(
30.7k
points)

318
views
tifrmaths2010
linearalgebra
systemofequations
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