1
GATE CE 1999
+1
-0.3
If $$A$$ is any $$nxn$$ matrix and $$k$$ is a scalar then $$\left| {kA} \right| = \alpha \left| A \right|$$ where $$\alpha$$ is
A
$$kn$$
B
$${n^k}$$
C
$${k^n}$$
D
$${k \over n}$$
2
GATE CE 1999
+1
-0.3
The number of terms in the expansion of general determinant of order $$n$$ is
A
$${n^2}$$
B
$$n!$$
C
$$n$$
D
$${\left( {n + 1} \right)^2}$$
3
GATE CE 1999
+1
-0.3
The equation $$\left[ {\matrix{ 2 & 1 & 1 \cr 1 & 1 & { - 1} \cr y & {{x^2}} & x \cr } } \right] = 0$$ represents a parabola passing through the points.
A
$$(0, 1), (0, 2), (0, -1)$$
B
$$(0, 0), (-1, 1), (1, 2)$$
C
$$(1, 1), (0, 0), (2, 2)$$
D
$$(1, 2), (2, 1), (0, 0)$$
4
GATE CE 1998
+1
-0.3
In matrix algebra $$AS=AT$$ ($$A,S,T,$$ are matrices of appropriate order) implies $$S=T$$ only if
A
$$A$$ is symmetric
B
$$A$$ is singular
C
$$A$$ is non singular
D
$$A$$ is skew - symmetric
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