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Recent questions tagged system-of-equations
17
votes
5
answers
91
GATE IT 2004 | Question: 6
What values of x, y and z satisfy the following system of linear equations? $\begin{bmatrix} 1 &2 &3 \\ 1& 3 &4 \\ 2& 2 &3 \end{bmatrix} \begin{bmatrix} x\\y \\ z \end{bmatrix} = \begin{bmatrix} 6\\8 \\ 12 \end{bmatrix}$ $x = 6$, $y = 3$, $z = 2$ $x = 12$, $y = 3$, $z = - 4$ $x = 6$, $y = 6$, $z = - 4$ $x = 12$, $y = - 3$, $z = 0$
Ishrat Jahan
asked
in
Linear Algebra
Nov 1, 2014
by
Ishrat Jahan
6.4k
views
gateit-2004
linear-algebra
system-of-equations
easy
48
votes
7
answers
92
GATE CSE 1996 | Question: 1.7
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 $n \times1$ column vector of unknowns. Which of the following is false? The system has a solution if and ... a unique solution. The system will have only a trivial solution when $m=n$, $b$ is the zero vector and $\text{rank}(A) =n$.
Kathleen
asked
in
Linear Algebra
Oct 9, 2014
by
Kathleen
21.3k
views
gate1996
linear-algebra
system-of-equations
normal
35
votes
6
answers
93
GATE CSE 2014 Set 1 | Question: 4
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 ______________
go_editor
asked
in
Linear Algebra
Sep 26, 2014
by
go_editor
12.9k
views
gatecse-2014-set1
linear-algebra
system-of-equations
numerical-answers
normal
5
votes
1
answer
94
GATE CSE 1998 | Question: 9
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.
Kathleen
asked
in
Linear Algebra
Sep 26, 2014
by
Kathleen
3.2k
views
gate1998
linear-algebra
system-of-equations
descriptive
22
votes
3
answers
95
GATE CSE 1998 | Question: 1.2
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
Kathleen
asked
in
Linear Algebra
Sep 25, 2014
by
Kathleen
7.1k
views
gate1998
linear-algebra
system-of-equations
easy
19
votes
4
answers
96
GATE CSE 2005 | Question: 48
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
gatecse
asked
in
Linear Algebra
Sep 21, 2014
by
gatecse
7.2k
views
gatecse-2005
linear-algebra
system-of-equations
normal
28
votes
4
answers
97
GATE CSE 2004 | Question: 71
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
Kathleen
asked
in
Linear Algebra
Sep 18, 2014
by
Kathleen
8.3k
views
gatecse-2004
linear-algebra
system-of-equations
normal
33
votes
4
answers
98
GATE CSE 2003 | Question: 41
Consider the following system of linear equations ... linearly dependent. For how many values of $\alpha$, does this system of equations have infinitely many solutions? \(0\) \(1\) \(2\) \(3\)
Kathleen
asked
in
Linear Algebra
Sep 17, 2014
by
Kathleen
12.1k
views
gatecse-2003
linear-algebra
system-of-equations
normal
29
votes
6
answers
99
GATE CSE 2008 | Question: 3
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
Kathleen
asked
in
Linear Algebra
Sep 11, 2014
by
Kathleen
10.0k
views
gatecse-2008
easy
linear-algebra
system-of-equations
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