1
GATE CE 2009
+1
-0.3
In the solution of the following set of linear equations by Gauss-elimination using partial pivoting $$5x+y+2z=34,$$$$$4y-3z=12$$$ and $$10x-2y+z=-4.$$\$
The pivots for elimination of $$x$$ and $$y$$ are
A
$$10$$ and $$4$$
B
$$10$$ and $$2$$
C
$$5$$ and $$4$$
D
$$5$$ and $$-4$$
2
GATE CE 2009
+1
-0.3
A square matrix $$B$$ is symmetric if ____
A
$${B^T} = - B$$
B
$${B^T} = B$$
C
$${B^{ - 1}} = B$$
D
$${B^{ - 1}} = {B^T}$$
3
GATE CE 2008
+1
-0.3
The product of matrices $${\left( {PQ} \right)^{ - 1}}P$$ is
A
$${P^{ - 1}}$$
B
$${Q^{ - 1}}$$
C
$${P^{ - 1}}$$ $${Q^{ - 1}}$$ $$P$$
D
$$P$$ $$Q$$ $${P^{ - 1}}$$
4
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 $$2$$
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
Irrigation
Environmental Engineering
Engineering Mathematics
Structural Analysis
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
General Aptitude
EXAM MAP
Joint Entrance Examination