1
GATE CE 2008
+1
-0.3
The following system of equations $$x+y+z=3,$$$$$x+2y+3z=4,$$$ $$x+4y+kz=6$$$will not have a unique solution for $$k$$ equal to A $$0$$ B $$5$$ C $$6$$ D $$7$$ 2 GATE CE 2006 MCQ (Single Correct Answer) +1 -0.3 Solution for the system defined by the set of equations $$4y+3z=8, 2x-z=2$$ & $$3x+2y=5$$ is A $$x=0, y=1,z=4/5$$ B $$x=0,y=1/2,z=2$$ C $$x=1,y=1/2,z=2$$ D non existent 3 GATE CE 2005 MCQ (Single Correct Answer) +1 -0.3 Consider a non-homogeneous system of linear equations represents mathematically an over determined system. Such a system will be A Consistent having a unique solution B Consistent having many solutions. C Inconsistent having a unique solution. D none 4 GATE CE 2005 MCQ (Single Correct Answer) +1 -0.3 Consider the following system of equations in three real variable $${x_1},$$ $${x_2}$$ and $${x_3}:$$ $$2{x_1} - {x_2} + 3{x_3} = 1$$$ $$3{x_1} + 2{x_2} + 5{x_3} = 2$$$$$- {x_1} + 4{x_2} + {x_3} = 3$$$

This system of equations has

A
no solution
B
a unique solution
C
more then one but a finite number of solutions.
D
an infinite number of solutions.
GATE CE Subjects
Engineering Mechanics
Construction Material and Management
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
Geomatics Engineering Or Surveying
Environmental Engineering
Transportation Engineering
General Aptitude
EXAM MAP
Medical
NEET