1
GATE CE 2008
+1
-0.3
The eigenvalues of the matrix $$\left[ P \right] = \left[ {\matrix{ 4 & 5 \cr 2 & { - 5} \cr } } \right]$$ are
A
$$-7$$ and $$8$$
B
$$-6$$ and $$5$$
C
$$3$$ and $$4$$
D
$$1$$ and $$2$$
2
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 $$7$$ 3 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 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
Construction Material and Management
Geomatics Engineering Or Surveying
Engineering Mechanics
Transportation Engineering
Environmental Engineering
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
General Aptitude
EXAM MAP
Medical
NEET