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Recent questions tagged system-of-equations
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GATE ECE 2020 | Question: 26
Consider the following system of linear equations. $\begin{array}{llll} x_{1}+2x_{2}=b_{1} ; & 2x_{1}+4x_{2}=b_{2}; & 3x_{1}+7x_{2}=b_{3} ; & 3x_{1}+9x_{2}=b_{4} \end{array}$ Which one of the following conditions ensures that a solution exists for the above system? ... $b_{2}=2b_{1}$ and $3b_{1}-6b_{3}+b_{4}=0$ $b_{3}=2b_{1}$ and $3b_{1}-6b_{3}+b_{4}=0$
go_editor
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Linear Algebra
Feb 13, 2020
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go_editor
1.9k
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gate2020-ec
linear-algebra
system-of-equations
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2
GATE ECE 2015 Set 1 | Question: 1
Consider a system of linear equations: $x-2y+3z=-1, \\ x-3y+4z=1, \text{ and } \\ -2x+4y-6z=k.$ The value of $k$ for which the system has infinitely many solutions is ___________
Milicevic3306
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Linear Algebra
Mar 28, 2018
by
Milicevic3306
15.8k
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56
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gate2015-ec-1
numerical-answers
linear-algebra
system-of-equations
0
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0
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3
GATE ECE 2014 Set 2 | Question: 26
The system of linear equations $\begin{pmatrix} 2 & 1 & 3\\ 3&0 &1 \\ 1& 2 &5 \end{pmatrix} \begin{pmatrix} a\\ b\\ c \end{pmatrix} = \begin{pmatrix} 5\\ -4\\ 14 \end{pmatrix}$ has a unique solution infinitely many solutions no solution exactly two solutions
Milicevic3306
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Linear Algebra
Mar 26, 2018
by
Milicevic3306
15.8k
points
38
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gate2014-ec-2
linear-algebra
matrices
system-of-equations
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4
GATE ECE 2018 | Question: 22
Consider matrix $A=\begin{bmatrix} k & 2k\\ k^{2}-k & k^{2} \end{bmatrix}$ and vector $x=\begin{bmatrix} x_{1}\\ x_{2} \end{bmatrix}.$ The number of distinct real value of $k$ for which the equation $Ax=0$ has infinitely many solutions is _________.
gatecse
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Linear Algebra
Feb 19, 2018
by
gatecse
1.5k
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47
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gate2018-ec
numerical-answers
linear-algebra
system-of-equations
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