1
GATE CE 2007
MCQ (Single Correct Answer)
+2
-0.6
The inverse of $$2 \times 2$$ matrix $$\left[ {\matrix{
1 & 2 \cr
5 & 7 \cr
} } \right]$$ is
2
GATE CE 2007
MCQ (Single Correct Answer)
+2
-0.6
For what values of $$\alpha $$ and $$\beta $$ the following simultaneous equations have an infinite number of solutions
$$$x+y+z=5,$$$
$$$x+3y+3z=9,$$$
$$$x + 2y + \alpha z = \beta $$$
3
GATE CE 2007
MCQ (Single Correct Answer)
+2
-0.6
The minimum and maximum eigen values of matrix $$\left[ {\matrix{
1 & 1 & 3 \cr
1 & 5 & 1 \cr
3 & 1 & 1 \cr
} } \right]$$ are $$-2$$ and $$6$$ respectively. What is the other eigen value?
4
GATE CE 2006
MCQ (Single Correct Answer)
+2
-0.6
For a given matrix $$A = \left[ {\matrix{
2 & { - 2} & 3 \cr
{ - 2} & { - 1} & 6 \cr
1 & 2 & 0 \cr
} } \right],$$ one of the eigen value is $$3.$$ The other two eigen values are
Questions Asked from Linear Algebra (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE CE Subjects
Construction Material and Management
Geomatics Engineering Or Surveying
Engineering Mechanics
Transportation Engineering
Strength of Materials Or Solid Mechanics
Reinforced Cement Concrete
Steel Structures
Environmental Engineering
Engineering Mathematics
Structural Analysis
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
General Aptitude