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Recent questions tagged systemofequations
+21
votes
5
answers
1
GATE2015333
If the following system has nontrivial solution, $px + qy + rz = 0$ $qx + ry + pz = 0$ $rx + py + qz = 0$, then which one of the following options is TRUE? $p  q + r = 0 \text{ or } p = q = r$ $p + q  r = 0 \text{ or } p = q = r$ $p + q + r = 0 \text{ or } p = q = r$ $p  q + r = 0 \text{ or } p = q = r$
asked
Feb 15, 2015
in
Linear Algebra
by
jothee
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105k
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3.2k
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gate20153
linearalgebra
systemofequations
normal
+11
votes
3
answers
2
GATE2004IT6
What values of x, y and z satisfy the following system of linear equations? $\begin{bmatrix} 1 &2 &3 \\ 1& 3 &4 \\ 2& 2 &3 \end{bmatrix} \begin{bmatrix} x\\y \\ z \end{bmatrix} = \begin{bmatrix} 6\\8 \\ 12 \end{bmatrix}$ $x = 6$, $y = 3$, $z = 2$ $x = 12$, $y = 3$, $z =  4$ $x = 6$, $y = 6$, $z =  4$ $x = 12$, $y =  3$, $z = 0$
asked
Nov 2, 2014
in
Linear Algebra
by
Ishrat Jahan
Boss
(
16.3k
points)

1.3k
views
gate2004it
linearalgebra
systemofequations
easy
+24
votes
3
answers
3
GATE19961.7
Let $Ax = b$ be a system of linear equations where $A$ is an $m \times n$ matrix and $b$ is a $m \times 1$ column vector and $X$ is an $n \times1$ ... has a unique solution. The system will have only a trivial solution when $m=n$, $b$ is the zero vector and $\text{rank}(A) =n$.
asked
Oct 9, 2014
in
Linear Algebra
by
Kathleen
Veteran
(
52.2k
points)

3.1k
views
gate1996
linearalgebra
systemofequations
normal
+18
votes
5
answers
4
GATE201414
Consider the following system of equations: $3x + 2y = 1 $ $4x + 7z = 1 $ $x + y + z = 3$ $x  2y + 7z = 0$ The number of solutions for this system is ______________
asked
Sep 26, 2014
in
Linear Algebra
by
jothee
Veteran
(
105k
points)

3.7k
views
gate20141
linearalgebra
systemofequations
numericalanswers
normal
+1
vote
1
answer
5
GATE19989
Derive the expressions for the number of operations required to solve a system of linear equations in $n$ unknowns using the Gaussian Elimination Method. Assume that one operation refers to a multiplication followed by an addition.
asked
Sep 26, 2014
in
Linear Algebra
by
Kathleen
Veteran
(
52.2k
points)

343
views
gate1998
linearalgebra
systemofequations
descriptive
+14
votes
2
answers
6
GATE19981.2
Consider the following set of equations $x+2y=5\\ 4x+8y=12\\ 3x+6y+3z=15$ This set has unique solution has no solution has finite number of solutions has infinite number of solutions
asked
Sep 26, 2014
in
Linear Algebra
by
Kathleen
Veteran
(
52.2k
points)

2k
views
gate1998
linearalgebra
systemofequations
easy
+10
votes
2
answers
7
GATE200548
Consider the following system of linear equations : $2x_1  x_2 + 3x_3 = 1$ $3x_1 + 2x_2 + 5x_3 = 2$ $x_1+4x_2+x_3 = 3$ The system of equations has no solution a unique solution more than one but a finite number of solutions an infinite number of solutions
asked
Sep 21, 2014
in
Linear Algebra
by
gatecse
Boss
(
17.5k
points)

1.4k
views
gate2005
linearalgebra
systemofequations
normal
+15
votes
3
answers
8
GATE200471
How many solutions does the following system of linear equations have? $x + 5y = 1$ $x  y = 2$ $x + 3y = 3$ infinitely many two distinct solutions unique none
asked
Sep 19, 2014
in
Linear Algebra
by
Kathleen
Veteran
(
52.2k
points)

1.9k
views
gate2004
linearalgebra
systemofequations
normal
+17
votes
3
answers
9
GATE200341
Consider the following system of linear equations ... are linearly dependent. For how many values of $\alpha$, does this system of equations have infinitely many solutions? \(0\) \(1\) \(2\) \(3\)
asked
Sep 17, 2014
in
Linear Algebra
by
Kathleen
Veteran
(
52.2k
points)

3.5k
views
gate2003
linearalgebra
systemofequations
normal
+18
votes
2
answers
10
GATE20083
The following system of equations $x_1 + x_2 + 2x_3 = 1$ $x_1 + 2x_2 + 3x_3 = 2$ $x_1 + 4x_2 + αx_3 = 4$ has a unique solution. The only possible value(s) for $α$ is/are $0$ either $0$ or $1$ one of $0, 1$, or $1$ any real number
asked
Sep 11, 2014
in
Linear Algebra
by
Kathleen
Veteran
(
52.2k
points)

2.9k
views
gate2008
easy
linearalgebra
systemofequations
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Recent questions tagged systemofequations
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Very slim chances..FML
100 percent
I am getting 151 marks excluding question not...
everyone will be surprised seeing the cutoff this...
There is no point of any debate/discourse here....
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