1
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
$${B^{ - 1}} = {B^T}$$
2
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
$$P$$ $$Q$$ $${P^{ - 1}}$$
3
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 $$2$$
4
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
$$7$$
GATE CE Subjects
Engineering Mechanics
Strength of Materials Or Solid Mechanics
Structural Analysis
Construction Material and Management
Reinforced Cement Concrete
Steel Structures
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
Irrigation
Geomatics Engineering Or Surveying
Environmental Engineering
Transportation Engineering
Engineering Mathematics
General Aptitude
EXAM MAP
Joint Entrance Examination